Sergey V. Gonchenko (Institute for Applied Mathematics and Cybernetics, Nizhny Novgorod, Rússia): Towards scenarios of chaos appearance in three-dimensional maps
- https://dynamicalsystems.upc.edu/ca/esdeveniments/congressos/seminari-de-sistemes-dinamics-ub-upc/sergey-v.-gonchenko-institute-for-applied-mathematics-and-cybernetics-nizhny-novgorod-russia-towards-scenarios-of-chaos-appearance-in-three-dimensional-maps
- Sergey V. Gonchenko (Institute for Applied Mathematics and Cybernetics, Nizhny Novgorod, Rússia): Towards scenarios of chaos appearance in three-dimensional maps
- 2011-10-19T16:15:00+02:00
- 2011-10-19T17:15:00+02:00
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19/10/2011 de 16:15 a 17:15 (Europe/Madrid / UTC200)
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Aula T2 (2n pis), Facultat de Matemàtiques, UB.
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We analyze chaotic dynamics of three-dimensional smooth dissipative
maps (diffeomorphisms). We show that two main bifurcation scenarios of
chaos developing (from an asymptotically stable fixed (periodic) point to a
strange attractor) can be typically occurred here. In the first scenario,
the spiral (Shilnikov) attractor appears, whereas, in the second one,
either Lorenz-like or a "figure-8" strange attractors can be observed. We
give a qualitative description of both these scenarios and illustrate them
by some numerics (for 3D Henon maps).
maps (diffeomorphisms). We show that two main bifurcation scenarios of
chaos developing (from an asymptotically stable fixed (periodic) point to a
strange attractor) can be typically occurred here. In the first scenario,
the spiral (Shilnikov) attractor appears, whereas, in the second one,
either Lorenz-like or a "figure-8" strange attractors can be observed. We
give a qualitative description of both these scenarios and illustrate them
by some numerics (for 3D Henon maps).
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