HÉNON MAP: SIMPLE SINKS GAINING COEXISTENCE AS b → 1
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Publication:2866044
DOI10.1142/S0218127413300309zbMath1277.37072MaRDI QIDQ2866044
Laura Tedeschini Lalli, Corrado Falcolini
Publication date: 13 December 2013
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items (4)
Backbones in the parameter plane of the Hénon map ⋮ Diverging period and vanishing dissipation: families of periodic sinks in the quasi-conservative case ⋮ A numerical renormalization method for quasi-conservative periodic attractors ⋮ Hierarchical collapse of regular islands via dissipation
Cites Work
- Shift automorphisms in the Henon mapping
- On a homoclinic origin of Hénon-like maps
- Renormalization in the Hénon family. II: The heteroclinic web
- Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems
- How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency
- Period doubling cascades of attractors: A prerequisite for horseshoes
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- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors
- Diffeomorphisms with infinitely many sinks
- Renormalization in the Hénon family. I: Universality but non-rigidity
- Bifurcations of one- and two-dimensional maps
- ON THE STRUCTURE OF 1 : 4 RESONANCES IN HÉNON MAPS
- ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
- Generalized Hénon Map and Bifurcations of Homoclinic Tangencies
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