|
[1]
|
S. Abenda and Yu. Fedorov.
The geometric description of hyperelliptically separable systems.
In Symmetry and perturbation theory (Rome, 1998), pages
117-126. World Sci. Publ., River Edge, NJ, 1999.
[ MR ]
|
|
[2]
|
S. Abenda and Yu. Fedorov.
On the weak Kowalevski-Painlevé property for
hyperelliptically separable systems.
Acta Appl. Math., 60(2):137-178, 2000.
[ MR ]
|
|
[3]
|
M.S. Alber, R. Camassa, Yu.N. Fedorov, D.D. Holm, and J.E. Marsden.
On billiard solutions of nonlinear PDEs.
Phys. Lett. A, 264(2-3):171-178, 1999.
[ MR ]
|
|
[4]
|
M.S. Alber and Yu.N. Fedorov.
Wave solutions of evolution equations and Hamiltonian flows on
nonlinear subvarieties of generalized Jacobians.
J. Phys. A, 33(47):8409-8425, 2000.
[ MR ]
|
|
[5]
|
A. Banyaga, R. de la Llave, and C.E. Wayne.
Cohomology equations and commutators of germs of contact
diffeomorphisms.
Trans. Amer. Math. Soc., 312(2):755-778, 1989.
[ MR ]
|
|
[6]
|
A. Banyaga, R. de la Llave, and C.E. Wayne.
Cohomology equations near hyperbolic points and geometric versions of
Sternberg linearization theorem.
J. Geom. Anal., 6(4):613-649 (1997), 1996.
[ MR ]
|
|
[7]
|
E. Belbruno, J. Llibre, and M. Ollé.
On the families of periodic orbits which bifurcate from the circular
Sitnikov motions.
Celestial Mech. Dynam. Astronom., 60(1):99-129, 1994.
[ MR ]
|
|
[8]
|
A. Benseny and A. Delshams.
Asymptotic estimates for the splitting of separatrices in systems
with slow dynamics.
In European Conference on Iteration Theory (Caldes de
Malavella, 1987), pages 128-132. World Sci. Publ., Teaneck, NJ, 1989.
[ MR ]
|
|
[9]
|
A. Benseny and C. Olivé.
Algebraic manipulation of the invariance condition in the computation
of local invariant curves of hyperbolic fixed points.
In Proceedings of the 2nd Catalan Days on Applied
Mathematics (Odelló, 1995), Collect. Études, pages 29-39.
Presses Univ. Perpinyà, 1995.
[ MR ]
|
|
[10]
|
A. Benseny and C. Olivé.
Algebraic manipulation of variational equations in the computation of
local invariant manifolds of hyperbolic periodic orbits.
In XIV CEDYA/IV Congress of Applied Mathematics
(Spanish)(Vic, 1995), page 9 pp. (electronic). Univ. Barcelona,
Barcelona, 1995.
[ MR ]
|
|
[11]
|
A.V. Bolsinov and Yu.N. Fedorov.
Multidimensional integrable generalizations of Steklov-Lyapunov
systems.
Vestnik Moskov. Univ. Ser. I Mat. Mekh., (1992)(6):53-56,
1992.
[ MR ]
|
|
[12]
|
C. Bonet, D. Sauzin, T. Seara, and M. València.
Adiabatic invariant of the harmonic oscillator, complex matching and
resurgence.
SIAM J. Math. Anal., 29(6):1335-1360 (electronic), 1998.
[ MR ]
|
|
[13]
|
A.V. Borisov and Yu.N. Fedorov.
On two modified integrable problems in dynamics.
Vestnik Moskov. Univ. Ser. I Mat. Mekh., (1995)(6):102-105,
1995.
[ MR ]
|
|
[14]
|
A. Candel and R. de la Llave.
On the Aubry-Mather theory in statistical mechanics.
Comm. Math. Phys., 192(3):649-669, 1998.
[ MR ]
|
|
[15]
|
P.S. Casas and À. Jorba.
A numerical method for computing unstable quasi-periodic solutions
for the 2-D Poiseuille flow.
In International Conference on Differential Equations,
Vol. 1, 2 (Berlin, 1999), pages 884-886. World Sci. Publ., River Edge,
NJ, 2000.
[ MR ]
|
|
[16]
|
A. Delshams.
Notes on the Arnol'd diffusion.
In Proceedings of the seventh Spanish-Portuguese conference
on mathematics, Part III (Sant Feliu de Guíxols, 1980),
pages 27-30, 1980.
[ MR ]
|
|
[17]
|
A. Delshams.
Behavior of quasi-integrable Hamiltonian systems near invariant
tori.
In Proceedings of the fifth congress on differential equations
and applications (Spanish) (Puerto de la Cruz, 1982), volume 14 of
Informes, pages 553-580, La Laguna, 1984. Univ. La Laguna.
[ MR ]
|
|
[18]
|
A. Delshams, V. Gelfreich, À. Jorba, and T.M. Seara.
Exponentially small splitting of separatrices under fast
quasiperiodic forcing.
Comm. Math. Phys., 189(1):35-71, 1997.
[ MR ]
|
|
[19]
|
A. Delshams, V. Gelfreich, À. Jorba, and T.M. Seara.
Lower and upper bounds for the splitting of separatrices of the
pendulum under a fast quasiperiodic forcing.
Electron. Res. Announc. Amer. Math. Soc., 3:1-10 (electronic),
1997.
[ MR ]
|
|
[20]
|
A. Delshams and P. Gutiérrez.
Effective stability for nearly integrable Hamiltonian systems.
In International Conference on Differential Equations,
Vol. 1, 2 (Barcelona, 1991), pages 415-420. World Sci. Publ., River
Edge, NJ, 1993.
[ MR ]
|
|
[21]
|
A. Delshams and P. Gutiérrez.
Nekhoroshev and KAM theorems revisited via a unified approach.
In Hamiltonian mechanics (Toruń, 1993), volume 331 of
NATO Adv. Sci. Inst. Ser. B Phys., pages 299-306. Plenum, New York,
1994.
[ MR ]
|
|
[22]
|
A. Delshams and P. Gutiérrez.
Effective stability and KAM theory.
J. Differential Equations, 128(2):415-490, 1996.
[ MR ]
|
|
[23]
|
A. Delshams and P. Gutiérrez.
Estimates on invariant tori near an elliptic equilibrium point of a
Hamiltonian system.
J. Differential Equations, 131(2):277-303, 1996.
[ MR ]
|
|
[24]
|
A. Delshams and P. Gutiérrez.
Exponentially small estimates for KAM theorem near an elliptic
equilibrium point.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 386-390. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[25]
|
A. Delshams and P. Gutiérrez.
Splitting and Melnikov potentials in Hamiltonian systems.
In Hamiltonian systems and celestial mechanics (Pátzcuaro,
1998), volume 6 of World Sci. Monogr. Ser. Math., pages 111-137.
World Sci. Publ., River Edge, NJ, 2000.
[ MR ]
|
|
[26]
|
A. Delshams and P. Gutiérrez.
Splitting potential and the Poincaré-Melnikov method for
whiskered tori in Hamiltonian systems.
J. Nonlinear Sci., 10(4):433-476, 2000.
[ MR ]
|
|
[27]
|
A. Delshams, À. Jorba, T.M. Seara, and V. Gelfreich.
Splitting of separatrices for (fast) quasiperiodic forcing.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 367-371. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[28]
|
A. Delshams and J.T. Lázaro.
Convergence of the step to normal form in reversible systems.
In XIV CEDYA/IV Congress of Applied Mathematics
(Spanish)(Vic, 1995), page 9 pp. (electronic). Univ. Barcelona,
Barcelona, 1995.
[ MR ]
|
|
[29]
|
A. Delshams and J.T. Lázaro.
Effective stability in reversible systems.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 453-457. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[30]
|
A. Delshams and R. de la Llave.
KAM theory and a partial justification of Greene's criterion for
nontwist maps.
SIAM J. Math. Anal., 31(6):1235-1269 (electronic), 2000.
[ MR ]
|
|
[31]
|
A. Delshams, R. de la Llave, and T.M. Seara.
A geometric approach to the existence of orbits with unbounded energy
in generic periodic perturbations by a potential of generic geodesic flows of
T2.
Comm. Math. Phys., 209(2):353-392, 2000.
[ MR ]
|
|
[32]
|
A. Delshams, R. de la Llave, and T.M. Seara.
Unbounded growth of energy in periodic perturbations of geodesic
flows of the torus.
In Hamiltonian systems and celestial mechanics (Pátzcuaro,
1998), volume 6 of World Sci. Monogr. Ser. Math., pages 90-110. World
Sci. Publ., River Edge, NJ, 2000.
[ MR ]
|
|
[33]
|
A. Delshams and M.T. M.-Seara.
On the existence of homoclinic orbits in a family of vector fields
near an equilibrium point.
In European Conference on Iteration Theory (Caldes de
Malavella, 1987), pages 167-177. World Sci. Publ., Teaneck, NJ, 1989.
[ MR ]
|
|
[34]
|
A. Delshams and A. Mir.
Psi-series of quadratic vector fields on the plane.
In Proceedings of the Symposium on Planar Vector Fields
(Lleida, 1996), pages 101-125, 1997.
[ MR ]
|
|
[35]
|
A. Delshams and R. Ramírez-Ros.
Numerical study of the Poincaré-Mel'nikov-Arnol'd
method for mappings.
In XIV CEDYA/IV Congress of Applied Mathematics
(Spanish)(Vic, 1995), page 15 pp. (electronic). Univ. Barcelona,
Barcelona, 1995.
[ MR ]
|
|
[36]
|
A. Delshams and R. Ramírez-Ros.
On Birkoff's conjecture about convex billiards.
In Proceedings of the 2nd Catalan Days on Applied
Mathematics (Odelló, 1995), Collect. Études, pages 85-94.
Presses Univ. Perpinyà, 1995.
[ MR ]
|
|
[37]
|
A. Delshams and R. Ramírez-Ros.
Poincaré-Mel'nikov-Arnol'd method for analytic planar
maps.
Nonlinearity, 9(1):1-26, 1996.
[ MR ]
|
|
[38]
|
A. Delshams and R. Ramírez-Ros.
Melnikov potential for exact symplectic maps.
Comm. Math. Phys., 190(1):213-245, 1997.
[ MR ]
|
|
[39]
|
A. Delshams and R. Ramírez-Ros.
Exponentially small splitting of separatrices for perturbed
integrable standard-like maps.
J. Nonlinear Sci., 8(3):317-352, 1998.
[ MR ]
|
|
[40]
|
A. Delshams and R. Ramírez-Ros.
Singular splitting of separatrices for the perturbed McMillan
map.
In XV Congress on Differential Equations and
Applications/V Congress on Applied Mathematics, Vol. I, II
(Spanish) (Vigo, 1997), volume 9 of Colecc. Congr., pages
243-248. Univ. Vigo, Vigo, 1998.
[ MR ]
|
|
[41]
|
A. Delshams and R. Ramírez-Ros.
Poincaré-Melnikov-Arnold method for twist maps.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 533-537. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[42]
|
A. Delshams and R. Ramírez-Ros.
Singular separatrix splitting and the Melnikov method: an
experimental study.
Experiment. Math., 8(1):29-48, 1999.
[ MR ]
|
|
[43]
|
A. Delshams and R. Ramírez-Ros.
Singular separatrix splitting and the Poincaré-Melnikov
method for area preserving maps.
In International Conference on Differential Equations,
Vol. 1, 2 (Berlin, 1999), pages 941-946. World Sci. Publ., River Edge,
NJ, 2000.
[ MR ]
|
|
[44]
|
A. Delshams, R. Ramírez-Ros, and T.M. Seara.
Splitting of separatrices in Hamiltonian systems and symplectic
maps.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 39-54. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[45]
|
A. Delshams and T.M. Seara.
An asymptotic expression for the splitting of separatrices of the
rapidly forced pendulum.
Comm. Math. Phys., 150(3):433-463, 1992.
[ MR ]
|
|
[46]
|
A. Delshams and T.M. Seara.
Splitting of separatrices in rapidly forced systems.
In International Conference on Differential Equations,
Vol. 1, 2 (Barcelona, 1991), pages 103-113. World Sci. Publ., River
Edge, NJ, 1993.
[ MR ]
|
|
[47]
|
A. Delshams and T.M. Seara.
Exponentially small expressions for separatrix splittings.
In Seminar on Dynamical Systems (St. Petersburg,
1991), volume 12 of Progr. Nonlinear Differential Equations Appl.,
pages 68-80. Birkhäuser, Basel, 1994.
[ MR ]
|
|
[48]
|
A. Delshams and T.M. Seara.
Exponentially small splitting in Hamiltonian systems.
In Hamiltonian mechanics (Toruń, 1993), volume 331 of
NATO Adv. Sci. Inst. Ser. B Phys., pages 181-187. Plenum, New York,
1994.
[ MR ]
|
|
[49]
|
A. Delshams and T.M. Seara.
Splitting of separatrices in Hamiltonian systems with one and a
half degrees of freedom.
Math. Phys. Electron. J., 3:Paper 4, 40 pp. (electronic), 1997.
[ MR ]
|
|
[50]
|
C. Falcolini and R. de la Llave.
Numerical calculation of domains of analyticity for perturbation
theories in the presence of small divisors.
J. Statist. Phys., 67(3-4):645-666, 1992.
[ MR ]
|
|
[51]
|
C. Falcolini and R. de la Llave.
A rigorous partial justification of Greene's criterion.
J. Statist. Phys., 67(3-4):609-643, 1992.
[ MR ]
|
|
[52]
|
Yu. Fedorov.
Integrable systems and confocal quadrics.
In Hamiltonian mechanics (Toruń, 1993), volume 331 of
NATO Adv. Sci. Inst. Ser. B Phys., pages 361-369. Plenum, New York,
1994.
[ MR ]
|
|
[53]
|
Yu. Fedorov.
Integrable systems, Poisson pencils, and hyperelliptic Lax pairs.
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
(POMI), 235(Differ. Geom. Gruppy Li i Mekh. 15-2):87-103, 304-305, 1996.
[ MR ]
|
|
[54]
|
Yu. Fedorov.
Classical integrable systems and billiards related to generalized
Jacobians.
Acta Appl. Math., 55(3):251-301, 1999.
[ MR ]
|
|
[55]
|
Yu. Fedorov.
Discrete versions of some algebraic integrable systems related to
generalized Jacobians.
In SIDE III-symmetries and integrability of difference
equations (Sabaudia, 1998), volume 25 of CRM Proc. Lecture Notes,
pages 147-160. Amer. Math. Soc., Providence, RI, 2000.
[ MR ]
|
|
[56]
|
Yu.N. Fedorov.
Integration of a generalized problem on the rolling of a Chaplygin
ball.
In Geometry, differential equations and mechanics (Russian)
(Moscow, 1985), pages 151-155. Moskov. Gos. Univ. Mekh.-Mat. Fak.,
Moscow, 1986.
[ MR ]
|
|
[57]
|
Yu.N. Fedorov.
The motion of a rigid body in a spherical support.
Vestnik Moskov. Univ. Ser. I Mat. Mekh., (1988)(5):91-93,
1988.
[ MR ]
|
|
[58]
|
Yu.N. Fedorov.
Two integrable nonholonomic systems in classical dynamics.
Vestnik Moskov. Univ. Ser. I Mat. Mekh., (1989)(4):38-41, 105,
1989.
[ MR ]
|
|
[59]
|
Yu.N. Fedorov.
Lax representations with a spectral parameter defined on coverings of
hyperelliptic curves.
Mat. Zametki, 54(1):94-109, 157, 1993.
[ MR ]
|
|
[60]
|
Yu.N. Fedorov.
Generalized Poinsot interpretation of the motion of a
multidimensional rigid body.
Trudy Mat. Inst. Steklov., 205(Novye Rezult. v Teor. Topol.
Klassif. Integr. Sistem):200-206, 1994.
[ MR ]
|
|
[61]
|
Yu.N. Fedorov.
Integrable systems, Lax representations, and confocal quadrics.
In Dynamical systems in classical mechanics, volume 168 of
Amer. Math. Soc. Transl. Ser. 2, pages 173-199. Amer. Math. Soc.,
Providence, RI, 1995.
[ MR ]
|
|
[62]
|
Yu.N. Fedorov.
Dynamical systems with an invariant measure on the Riemannian
symmetric pairs (GL(N), SO(N)).
Regul. Khaoticheskaya Din., 1(1):38-44, 1996.
[ MR ]
|
|
[63]
|
Yu.N. Fedorov.
Systems with an invariant measure on Lie groups.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 350-356. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[64]
|
Yu.N. Fedorov.
Integrable systems, Poisson pencils, and hyperelliptic Lax pairs.
Regul. Chaotic Dyn., 5(2):171-180, 2000.
[ MR ]
|
|
[65]
|
Yu.N. Fedorov and V.V. Kozlov.
Various aspects of n-dimensional rigid body dynamics.
In Dynamical systems in classical mechanics, volume 168 of
Amer. Math. Soc. Transl. Ser. 2, pages 141-171. Amer. Math. Soc.,
Providence, RI, 1995.
[ MR ]
|
|
[66]
|
C. Fefferman and R. de la Llave.
Relativistic stability of matter. I.
Rev. Mat. Iberoamericana, 2(1-2):119-213, 1986.
[ MR ]
|
|
[67]
|
E. Fontich and P. Martín.
Construction of some unstable symplectic maps.
In Proceedings of the 2nd Catalan Days on Applied
Mathematics (Odelló, 1995), Collect. Études, pages 95-103.
Presses Univ. Perpinyà, 1995.
[ MR ]
|
|
[68]
|
E. Fontich and P. Martín.
Arnold diffusion in perturbations of analytic exact symplectic maps.
Nonlinear Anal., 42(8):1397-1412, 2000.
[ MR ]
|
|
[69]
|
E. Fontich and P. Martín.
Differentiable invariant manifolds for partially hyperbolic tori and
a lambda lemma.
Nonlinearity, 13(5):1561-1593, 2000.
[ MR ]
|
|
[70]
|
C. García, C. Olivé, and M. Sanromà, editors.
Proceedings of the IV Catalan Days of Applied
Mathematics. Universitat Rovira i Virgili, Departament d'Enginyeria
Informàtica, Tarragona, 1998.
Held in Tarragona, February 11-13, 1998.
[ MR ]
|
|
[71]
|
R.A. Garcia, A. Gasull, and A. Guillamon.
Geometrical conditions for the stability of orbits in planar systems.
Math. Proc. Cambridge Philos. Soc., 120(3):499-519, 1996.
[ MR ]
|
|
[72]
|
A. Gasull, G. Guasp, and A. Guillamon.
Applications of Riemannian metrics to systems of planar
differential equations.
In Proceedings of the XII Congress on Differential
Equations and Applications/II Congress on Applied Mathematics
(Spanish) (Oviedo, 1991), pages 129-134, Oviedo, 1991. Univ. Oviedo.
[ MR ]
|
|
[73]
|
A. Gasull and A. Guillamon.
Nonexistence of limit cycles for some predator-prey systems.
In International Conference on Differential Equations,
Vol. 1, 2 (Barcelona, 1991), pages 538-543. World Sci. Publ., River
Edge, NJ, 1993.
[ MR ]
|
|
[74]
|
A. Gasull and A. Guillamon.
Non-existence, uniqueness of limit cycles and center problem in a
system that includes predator-prey systems and generalized Lienard
equations.
Differential Equations Dynam. Systems, 3(4):345-366, 1995.
[ MR ]
|
|
[75]
|
A. Gasull and A. Guillamon.
A theorem of global asymptotical stability.
In XIV CEDYA/IV Congress of Applied Mathematics
(Spanish)(Vic, 1995), page 4 pp. (electronic). Univ. Barcelona,
Barcelona, 1995.
[ MR ]
|
|
[76]
|
A. Gasull, A. Guillamon, C. Li, and Z. Zhang.
Study of perturbed Lotka-Volterra systems via Abelian
integrals.
J. Math. Anal. Appl., 198(3):703-728, 1996.
[ MR ]
|
|
[77]
|
A. Gasull, A. Guillamon, and V. Mañosa.
Centre and isochronicity conditions for systems with homogeneous
nonlinearities.
In Proceedings of the 2nd Catalan Days on Applied
Mathematics (Odelló, 1995), Collect. Études, pages 105-116.
Presses Univ. Perpinyà, 1995.
[ MR ]
|
|
[78]
|
A. Gasull, A. Guillamon, and V. Mañosa.
An explicit expression of the first Liapunov and period constants
with applications.
J. Math. Anal. Appl., 211(1):190-212, 1997.
[ MR ]
|
|
[79]
|
A. Gasull, A. Guillamon, and V. Mañosa.
An analytic-numerical method for computation of the Liapunov and
period constants derived from their algebraic structure.
SIAM J. Numer. Anal., 36(4):1030-1043 (electronic), 1999.
[ MR ]
|
|
[80]
|
A. Gasull, A. Guillamon, and V. Mañosa.
Phase portrait of Hamiltonian systems with homogeneous
nonlinearities.
Nonlinear Anal., 42(4, Ser. A: Theory Methods):679-707, 2000.
[ MR ]
|
|
[81]
|
A. Gasull, A. Guillamon, V. Mañosa, and F. Mañosas.
The period function for Hamiltonian systems with homogeneous
nonlinearities.
J. Differential Equations, 139(2):237-260, 1997.
[ MR ]
|
|
[82]
|
A. Giorgilli, A. Delshams, E. Fontich, L. Galgani, and C. Simó.
Effective stability for a Hamiltonian system near an elliptic
equilibrium point, with an application to the restricted three-body problem.
J. Differential Equations, 77(1):167-198, 1989.
[ MR ]
|
|
[83]
|
G. Gómez, À. Jorba, J. Masdemont, and C. Simó.
Quasiperiodic orbits as a substitute of libration points in the solar
system.
In Predictability, stability, and chaos in N-body dynamical
systems (Cortina d'Ampezzo, 1990), volume 272 of NATO Adv. Sci.
Inst. Ser. B Phys., pages 433-438. Plenum, New York, 1991.
[ MR ]
|
|
[84]
|
G. Gómez, J. Llibre, and J. Masdemont.
Homoclinic and heteroclinic solutions in the restricted three-body
problem.
Celestial Mech., 44(3):239-259, 1988/89.
[ MR ]
|
|
[85]
|
G. Gómez, J. Masdemont, and C. Simó.
Quasihalo orbits associated with libration points.
J. Astronaut. Sci., 46(2):135-176, 1998.
[ MR ]
|
|
[86]
|
G. Gómez and M. Ollé.
Second-species solutions in the circular and elliptic restricted
three-body problem. I. Existence and asymptotic approximation.
Celestial Mech. Dynam. Astronom., 52(2):107-146, 1991.
[ MR ]
|
|
[87]
|
G. Gómez and M. Ollé.
Second-species solutions in the circular and elliptic restricted
three-body problem. II. Numerical explorations.
Celestial Mech. Dynam. Astronom., 52(2):147-166, 1991.
[ MR ]
|
|
[88]
|
D. Gómez-Ullate, A. González-López, and M.A. Rodríguez.
New algebraic quantum many-body problems.
J. Phys. A, 33(41):7305-7335, 2000.
[ MR ]
|
|
[89]
|
D. Gómez-Ullate, S. Lafortune, and P. Winternitz.
Symmetries of discrete dynamical systems involving two species.
J. Math. Phys., 40(6):2782-2804, 1999.
[ MR ]
|
|
[90]
|
D. Gómez-Ullate, S. Lafortune, and P. Winternitz.
Symmetry classification of systems of differential-difference
equations.
In SIDE III-symmetries and integrability of difference
equations (Sabaudia, 1998), volume 25 of CRM Proc. Lecture Notes,
pages 167-172. Amer. Math. Soc., Providence, RI, 2000.
[ MR ]
|
|
[91]
|
A. Guillamon, X. Jarque, J. Llibre, J. Ortega, and J. Torregrosa.
Periods for transversal maps via Lefschetz numbers for periodic
points.
Trans. Amer. Math. Soc., 347(12):4779-4806, 1995.
[ MR ]
|
|
[92]
|
T. Guillamon.
An overview of mathematics in nineteenth-century Catalonia.
Butl. Soc. Catalana Mat., 4:47-67, 1989.
[ MR ]
|
|
[93]
|
P. Gutiérrez.
Estabilitat efectiva i tors invariants de sistemes hamiltonians
quasi-integrables.
PhD thesis, Univ. Barcelona. Publ. Univ. Barcelona, 1996.
|
|
[94]
|
M. Jiang and R. de la Llave.
Smooth dependence of thermodynamic limits of SRB-measures.
Comm. Math. Phys., 211(2):303-333, 2000.
[ MR ]
|
|
[95]
|
M. Jiang, Ya.B. Pesin, and R. de la Llave.
On the integrability of intermediate distributions for Anosov
diffeomorphisms.
Ergodic Theory Dynam. Systems, 15(2):317-331, 1995.
[ MR ]
|
|
[96]
|
À. Jorba, R. de la Llave, and M. Zou.
Lindstedt series for lower-dimensional tori.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 151-167. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[97]
|
À. Jorba and J. Masdemont.
Dynamics in the center manifold of the collinear points of the
restricted three body problem.
Phys. D, 132(1-2):189-213, 1999.
[ MR ]
|
|
[98]
|
À. Jorba and J. Masdemont.
Nonlinear dynamics in an extended neighbourhood of the translunar
equilibrium point.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 430-434. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[99]
|
À. Jorba, R. Ramírez-Ros, and J. Villanueva.
Effective reducibility of quasi-periodic linear equations close to
constant coefficients.
SIAM J. Math. Anal., 28(1):178-188, 1997.
[ MR ]
|
|
[100]
|
À. Jorba and J. Villanueva.
Existence of quasiperiodic solutions for a restricted four-body
problem.
In XIV CEDYA/IV Congress of Applied Mathematics
(Spanish)(Vic, 1995), page 5 pp. (electronic). Univ. Barcelona,
Barcelona, 1995.
[ MR ]
|
|
[101]
|
À. Jorba and J. Villanueva.
On the normal behaviour of partially elliptic lower-dimensional tori
of Hamiltonian systems.
Nonlinearity, 10(4):783-822, 1997.
[ MR ]
|
|
[102]
|
À. Jorba and J. Villanueva.
On the persistence of lower-dimensional invariant tori under
quasi-periodic perturbations.
J. Nonlinear Sci., 7(5):427-473, 1997.
[ MR ]
|
|
[103]
|
À. Jorba and J. Villanueva.
Numerical computation of normal forms around some periodic orbits of
the restricted three-body problem.
Phys. D, 114(3-4):197-229, 1998.
[ MR ]
|
|
[104]
|
À. Jorba and J. Villanueva.
Stability and asymptotic behaviour of the vertical family of periodic
orbits around L5 of the restricted three body problem.
In XV Congress on Differential Equations and
Applications/V Congress on Applied Mathematics, Vol. I, II
(Spanish) (Vigo, 1997), volume 9 of Colecc. Congr., pages
303-308. Univ. Vigo, Vigo, 1998.
[ MR ]
|
|
[105]
|
À. Jorba and J. Villanueva.
Effective stability around periodic orbits of the spatial RTBP.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 628-632. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[106]
|
H. Koch, R. de la Llave, and C. Radin.
Aubry-Mather theory for functions on lattices.
Discrete Contin. Dynam. Systems, 3(1):135-151, 1997.
[ MR ]
|
|
[107]
|
V.V. Kozlov.
Symmetries, topology and resonances in Hamiltonian mechanics,
volume 31 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3).
Springer-Verlag, Berlin, 1996.
Translated from the Russian manuscript by S.V. Bolotin, D. Treshchev
and Yu. Fedorov.
[ MR ]
|
|
[108]
|
V.V. Kozlov and Yu.N. Fedorov.
Integrable systems on a sphere with potentials of elastic interaction
(in Russian).
Mat. Zametki, 56(3):74-79, 1994.
Translation in Math. Notes, 56(3-4):927-930, 1995.
[ MR ]
|
|
[109]
|
R. de la Llave.
Rates of convergence to equilibrium in the
Prigogine-Misra-Courbage theory of irreversibility.
J. Statist. Phys., 29(1):17-31, 1982.
[ MR ]
|
|
[110]
|
R. de la Llave.
A simple proof of a particular case of C. Siegel's center
theorem.
J. Math. Phys., 24(8):2118-2121, 1983.
[ MR ]
|
|
[111]
|
R. de la Llave.
Size and shape of stability domains in complex analytic dynamics.
Phys. A, 124(1-3):193-197, 1984.
Mathematical physics, VII (Boulder, Colo., 1983).
[ MR ]
|
|
[112]
|
R. de la Llave.
Remarks on J. Langer and D.A. Singer decomposition theorem
for diffeomorphisms of the circle.
Comm. Math. Phys., 104(3):387-401, 1986.
[ MR ]
|
|
[113]
|
R. de la Llave.
Invariants for smooth conjugacy of hyperbolic dynamical systems.
II.
Comm. Math. Phys., 109(3):369-378, 1987.
[ MR ]
|
|
[114]
|
R. de la Llave.
Computer assisted proofs of stability of matter.
In Computer aided proofs in analysis (Cincinnati, OH,
1989), volume 28 of IMA Vol. Math. Appl., pages 116-126. Springer,
New York, 1991.
[ MR ]
|
|
[115]
|
R. de la Llave.
Recent progress in classical mechanics.
In Mathematical physics, X (Leipzig, 1991), pages 3-19.
Springer, Berlin, 1992.
[ MR ]
|
|
[116]
|
R. de la Llave.
A renormalization group explanation of numerical observations of
analyticity domains.
J. Statist. Phys., 66(5-6):1631-1634, 1992.
[ MR ]
|
|
[117]
|
R. de la Llave.
Smooth conjugacy and S-R-B measures for uniformly and
non-uniformly hyperbolic systems.
Comm. Math. Phys., 150(2):289-320, 1992.
[ MR ]
|
|
[118]
|
R. de la Llave.
Hyperbolic dynamical systems and generation of magnetic fields by
perfectly conducting fluids.
Geophys. Astrophys. Fluid Dynam., 73(1-4):123-131, 1993.
Magnetohydrodynamic stability and dynamos (Chicago, IL, 1992).
[ MR ]
|
|
[119]
|
R. de la Llave.
Introduction to K.A.M. theory.
In Computational physics (Almuñécar, 1992), pages
73-105. World Sci. Publ., River Edge, NJ, 1993.
[ MR ]
|
|
[120]
|
R. de la Llave.
Introduction to the theory of computational dynamics.
In Computational physics (Almuñécar, 1992), pages
49-71. World Sci. Publ., River Edge, NJ, 1993.
[ MR ]
|
|
[121]
|
R. de la Llave.
Periodic and quasiperiodic orbits in dynamical systems.
In III Congress on Applied Mathematics/XIII Congress
on Differential Equations and Applications (Spanish) (Madrid,
1993), pages 26-37. Univ. Politéc. Madrid, Madrid, 1993.
[ MR ]
|
|
[122]
|
R. de la Llave.
On necessary and sufficient conditions for uniform integrability of
families of Hamiltonian systems.
In International Conference on Dynamical Systems
(Montevideo, 1995), volume 362 of Pitman Res. Notes Math. Ser.,
pages 76-109. Longman, Harlow, 1996.
[ MR ]
|
|
[123]
|
R. de la Llave.
Analytic regularity of solutions of Livsic's cohomology equation
and some applications to analytic conjugacy of hyperbolic dynamical systems.
Ergodic Theory Dynam. Systems, 17(3):649-662, 1997.
[ MR ]
|
|
[124]
|
R. de la Llave.
Invariant manifolds associated to nonresonant spectral subspaces.
J. Statist. Phys., 87(1-2):211-249, 1997.
[ MR ]
|
|
[125]
|
R. de la Llave.
Variational methods for quasi-periodic solutions of partial
differential equations.
In Hamiltonian systems and celestial mechanics (Pátzcuaro,
1998), volume 6 of World Sci. Monogr. Ser. Math., pages 214-228.
World Sci. Publ., River Edge, NJ, 2000.
[ MR ]
|
|
[126]
|
R. de la Llave, J.M. Marco, and R. Moriyón.
Canonical perturbation theory of Anosov systems, and regularity
results for the Livsic cohomology equation.
Bull. Amer. Math. Soc. (N.S.), 12(1):91-94, 1985.
[ MR ]
|
|
[127]
|
R. de la Llave, J.M. Marco, and R. Moriyón.
Canonical perturbation theory for Anosov diffeomorphisms.
In Phénomènes critiques, systèmes aléatoires,
théories de jauge, Part I, II (Les Houches, 1984), pages
945-948. North-Holland, Amsterdam, 1986.
[ MR ]
|
|
[128]
|
R. de la Llave, J.M. Marco, and R. Moriyón.
Canonical perturbation theory of Anosov systems and regularity
results for the Livsic cohomology equation.
Ann. of Math. (2), 123(3):537-611, 1986.
[ MR ]
|
|
[129]
|
R. de la Llave and R. Moriyón.
Invariants for smooth conjugacy of hyperbolic dynamical systems.
IV.
Comm. Math. Phys., 116(2):185-192, 1988.
[ MR ]
|
|
[130]
|
R. de la Llave and R. Obaya.
Regularity of the composition operator in spaces of Hölder
functions.
Discrete Contin. Dynam. Systems, 5(1):157-184, 1999.
[ MR ]
|
|
[131]
|
R. de la Llave and R. Obaya.
Decomposition theorems for groups of diffeomorphisms in the sphere.
Trans. Amer. Math. Soc., 352(3):1005-1020, 2000.
[ MR ]
|
|
[132]
|
R. de la Llave and P. Panayotaros.
Gravity waves on the surface of the sphere.
J. Nonlinear Sci., 6(2):147-167, 1996.
[ MR ]
|
|
[133]
|
R. de la Llave and P. Panayotaros.
Gravity waves on the surface of the sphere.
In Mechanics: from theory to computation, pages 85-105.
Springer, New York, 2000.
[ MR ]
|
|
[134]
|
R. de la Llave and N.P. Petrov.
Theory of circle maps and the problem of one-dimensional optical
resonator with a periodically moving wall.
Phys. Rev. E (3), 59(6):6637-6651, 1999.
[ MR ]
|
|
[135]
|
R. de la Llave, L.R. Petzold, and J. Lorenz, editors.
Dynamics of algorithms, volume 118 of The IMA Volumes in
Mathematics and its Applications, New York, 2000. Springer-Verlag.
[ MR ]
|
|
[136]
|
R. de la Llave and D. Rana.
Accurate strategies for small divisor problems.
Bull. Amer. Math. Soc. (N.S.), 22(1):85-90, 1990.
[ MR ]
|
|
[137]
|
R. de la Llave and D. Rana.
Accurate strategies for K.A.M. bounds and their implementation.
In Computer aided proofs in analysis (Cincinnati, OH,
1989), volume 28 of IMA Vol. Math. Appl., pages 127-146. Springer,
New York, 1991.
[ MR ]
|
|
[138]
|
R. de la Llave and S. Tompaidis.
Computation of domains of analyticity for some perturbative
expansions of mechanics.
Phys. D, 71(1-2):55-81, 1994.
[ MR ]
|
|
[139]
|
R. de la Llave and S. Tompaidis.
Nature of singularities for analyticity domains of invariant curves.
Phys. Rev. Lett., 73(11):1459-1463, 1994.
[ MR ]
|
|
[140]
|
R. de la Llave and S. Tompaidis.
On the singularity structure of invariant curves of symplectic
mappings.
Chaos, 5(1):227-237, 1995.
[ MR ]
|
|
[141]
|
R. de la Llave and C.E. Wayne.
On Irwin's proof of the pseudostable manifold theorem.
Math. Z., 219(2):301-321, 1995.
[ MR ]
|
|
[142]
|
T. M.-Seara and A. Delshams.
Splitting measure for invariant manifolds in plane fields.
In Proceedings of the XIth Congress on Differential
Equations and Applications/First Congress on Applied Mathematics
(Spanish) (Málaga, 1989), pages 329-333, Málaga, 1990. Univ.
Málaga.
[ MR ]
|
|
[143]
|
J. Masdemont.
Homoclinic and heteroclinic solutions of the RTBP joining the
triangular equilibrium points.
In Long-term dynamical behaviour of natural and artificial
N-body systems (Cortina d'Ampezzo, 1987), volume 246 of NATO
Adv. Sci. Inst. Ser. C Math. Phys. Sci., pages 449-455. Kluwer Acad. Publ.,
Dordrecht, 1988.
[ MR ]
|
|
[144]
|
A. Mir and A. Delshams.
Singularity analysis for two-dimensional systems with an oscillatory
forcing.
In International Conference on Differential Equations,
Vol. 1, 2 (Barcelona, 1991), pages 754-758. World Sci. Publ., River
Edge, NJ, 1993.
[ MR ]
|
|
[145]
|
A. Mir and A. Delshams.
Psi-series, singularities of solutions and integrability of
polynomial systems.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 504-508. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[146]
|
J.J. Morales and R.O. Ramírez.
Bi-Hamiltonian systems and Lax representation.
In Hamiltonian mechanics (Toruń, 1993), volume 331 of
NATO Adv. Sci. Inst. Ser. B Phys., pages 253-259. Plenum, New York,
1994.
[ MR ]
|
|
[147]
|
J.J. Morales and C. Simó.
On the solvability of the Lamé equation.
In International Conference on Differential Equations,
Vol. 1, 2 (Barcelona, 1991), pages 759-762. World Sci. Publ., River
Edge, NJ, 1993.
[ MR ]
|
|
[148]
|
J.J. Morales and C. Simó.
Picard-Vessiot theory and Ziglin's theorem.
J. Differential Equations, 107(1):140-162, 1994.
[ MR ]
|
|
[149]
|
J.J. Morales Ruiz.
Differential Galois theory and non-integrability of
Hamiltonian systems, volume 179 of Progress in Mathematics.
Birkhäuser Verlag, Basel, 1999.
[ MR ]
|
|
[150]
|
J.J. Morales-Ruiz.
Kovalevskaya, Liapounov, Painlevé, Ziglin and the
differential Galois theory.
Regul. Chaotic Dyn., 5(3):251-272, 2000.
[ MR ]
|
|
[151]
|
J.J. Morales-Ruiz and J.M. Peris.
On a Galoisian approach to the splitting of separatrices.
Ann. Fac. Sci. Toulouse Math. (6), 8(1):125-141, 1999.
[ MR ]
|
|
[152]
|
J.J. Morales-Ruiz and J.P. Ramis.
Galoisian obstructions to integrability of Hamiltonian systems:
statements and examples.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 509-513. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[153]
|
J.J. Morales-Ruiz and C. Simó.
Non-integrability criteria for Hamiltonians in the case of
Lamé normal variational equations.
J. Differential Equations, 129(1):111-135, 1996.
[ MR ]
|
|
[154]
|
J.J. Morales-Ruiz and C. Simó.
A correction to the paper: “Non-integrability criteria for
Hamiltonians in the case of Lamé normal variational equations”
[J. Differential Equations 129 (1996), no. 1, 111-135].
J. Differential Equations, 144(2):477-478, 1998.
[ MR ]
|
|
[155]
|
M. Ollé.
Double collision orbits and second species solutions in the
restricted three-body problem.
In Long-term dynamical behaviour of natural and artificial
N-body systems (Cortina d'Ampezzo, 1987), volume 246 of NATO
Adv. Sci. Inst. Ser. C Math. Phys. Sci., pages 457-464. Kluwer Acad. Publ.,
Dordrecht, 1988.
[ MR ]
|
|
[156]
|
M. Ollé.
Numerical exploration of bifurcation phenomena associated with
complex instability.
In Numerical methods for bifurcation problems and large-scale
dynamical systems (Minneapolis, MN, 1997), volume 119 of IMA Vol.
Math. Appl., pages 319-326. Springer, New York, 2000.
[ MR ]
|
|
[157]
|
M. Ollé and J.R. Pacha.
Motion near the transition to complex instability: some examples.
In XV Congress on Differential Equations and
Applications/V Congress on Applied Mathematics, Vol. I, II
(Spanish) (Vigo, 1997), volume 9 of Colecc. Congr., pages
339-344. Univ. Vigo, Vigo, 1998.
[ MR ]
|
|
[158]
|
M. Ollé and J.R. Pacha.
The 3D elliptic restricted three-body problem: periodic orbits
which bifurcate from limiting restricted problems.
Astron. Astrophys., 351:1149-1164, 1999.
|
|
[159]
|
M. Ollé and D. Pfenniger.
Bifurcation at complex instability.
In Hamiltonian systems with three or more degrees of freedom
(S'Agaró, 1995), volume 533 of NATO Adv. Sci. Inst. Ser. C
Math. Phys. Sci., pages 518-522. Kluwer Acad. Publ., Dordrecht, 1999.
[ MR ]
|
|
[160]
|
T.M. Seara and J. Villanueva.
Asymptotic behaviour of the domain of analyticity of invariant curves
of the standard map.
Nonlinearity, 13(5):1699-1744, 2000.
[ MR ]
|
|
[161]
|
C. Simó, G. Gómez, À. Jorba, and J. Masdemont.
The bicircular model near the triangular libration points of the
RTBP.
In From Newton to chaos (Cortina d'Ampezzo, 1993), volume
336 of NATO Adv. Sci. Inst. Ser. B Phys., pages 343-370. Plenum, New
York, 1995.
[ MR ]
|