GENERALIZED HÉNON MAPS AND SMALE HORSESHOES OF NEW TYPES

DOI10.1142/S0218127408022238zbMath1165.37320OpenAlexW2061292728MaRDI QIDQ5322561

Ming-Chia Li, Sergey V. Gonchenko, Mikhail Malkin

Publication date: 21 July 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127408022238

zbMATH Keywords

Hénon mapnonwandering sethyperbolic dynamicsSmale horseshoesingular bifurcationhalf-orientable horseshoe

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75)

Related Items (5)

Antisymmetric diffeomorphisms and bifurcations of a double conservative Hénon map ⋮ Shilnikov's cross-map method and hyperbolic dynamics of three-dimensional Hénon-like maps ⋮ Snap-back repellers in non-smooth functions ⋮ Criteria on existence of horseshoes near homoclinic tangencies of arbitrary orders ⋮ On Local Topological Classification of Two-Dimensional Orientable, Non-Orientable, and Half-Orientable Horseshoes

Cites Work

• Unnamed Item
• Unnamed Item
• Shift automorphisms in the Henon mapping
• A two-dimensional mapping with a strange attractor
• How often do simple dynamical processes have infinitely many coexisting sinks?
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Bounded nonwandering sets for polynomial mappings
• A DOUBLE LOGISTIC MAP
• Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits
• TOPOLOGICAL ENTROPY FOR MULTIDIMENSIONAL PERTURBATIONS OF ONE-DIMENSIONAL MAPS
• Topological horseshoes for perturbations of singular difference equations
• 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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