Dynamics of a Hénon-Lozi-type map

DOI10.1016/S0960-0779(00)00192-2zbMath1005.37013OpenAlexW2050361523MaRDI QIDQ1600452

Celso Grebogi, Carl Robert, Moulay Aziz-Alaoui

Publication date: 13 June 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00192-2

zbMATH Keywords

asymptotic behaviourLozi map

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

Related Items (18)

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Uses Software

• Dynamics

Cites Work

• Unnamed Item
• Homoclinic bifurcations and the area-conserving Henon mapping
• The dynamics of the Hénon map
• A two-dimensional mapping with a strange attractor
• Invariant curves, attractors, and phase diagram of a piecewise linear map with chaos
• Strange attractors in the orientation-preserving Lozi map
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Statistical properties of dynamical systems with some hyperbolicity
• Monotonicity of the Lozi family near the tent-maps
• Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2 DOS Diskette.
• The basin of the strange attactors of some Hénon maps
• The non-wandering set of some Hénon maps
• Explosions of chaotic sets
• The Dynamics of a Piecewise Linear Map and its Smooth Approximation
• Crises, sudden changes in chaotic attractors, and transient chaos

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