Dynamical Systems Group

Afternoon Workshop on "Shilnikov Heritage"

Devoted to the memory of Leonid Pavlovich Shilnikov (1934-2011), creator of the homoclinic bifurcation theory in high-dimensional systems, crucial figure in the development of Dynamical systems and nonlinear dynamics and leader of Andronov's group at Lobachevsky State University in Nizhny Novgorod.

Afternoon Workshop on "Shilnikov Heritage"
Shilnikov
When

Oct 25, 2017 from 03:50 PM to 04:50 PM (Europe/Madrid / UTC200)

Where

IMUB Seminar Room IMUB, 2nd floor. Facultat de Matemàtiques, UB.

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Afternoon Workshop on "Shilnikov Heritage"

Wednesday, 25th October 2017


Devoted to the memory of Leonid Pavlovich Shilnikov (1934-2011), creator of the homoclinic bifurcation theory in high-dimensional systems, crucial figure in the development  of Dynamical systems and nonlinear dynamics and leader of Andronov's group at Lobachevsky State University in Nizhny Novgorod.

Location


IMUB Seminar Room IMUB, 2nd floor, Facultat de Matemàtiques, UB. Click here for information on how to get there.

Schedule


15:50 -- 16:00 Registration and welcome coffee.

           
16:00 -- 17:00 Sergey Gonchenko, Institute for Applied Mathematics & Cybernetics,
               N. Novgorod, Russia
               
               Title: "Shilnikov heritage: review of his classical and pioneering works"
              
               Abstract: I will try to fulfil an impossible task: to give a more or less intelligible
               overview of the pioneer classical  L.P.Shilnikov works of  60-80th years.
               The main Shilnikov results  obtained in this period can be grouped into 5 main
               topics: 1) bifurcations of separatrix loop in multidimensional systems;
               2) homoclinic loop of a saddle-focus and mathematical theory of spiral chaos;
               3)  homoclinic chaos; 4) mathematical theory of synchronization, and chaos;
               5) Lorenz attractor. In the talk,  all these topics will be considered, but,
               of course, with varying degrees of completeness.

17:00 -- 17:25 Coffee break.


17:25 -- 18:25 Dmitry Turaev, Imperial College, UK.
               
               Title: "A positive metric entropy conjecture"   
                   
               Abstract: We prove that any area-preserving diffeomorphism with an elliptic periodic
               point can be perturbed, in C-infinity topology, to one exhibiting a chaotic
               island with positive metric entropy (a joint work with P.Berger).Contact information

 

Registration

 

To register to the worshop, please, send an email to . There is a registration fee of 100 euros.

Organized by

Contact information:

IMUB
Tomás Lázaro (UPC)
Arturo Vieiro (UB)