Invariant curves, attractors, and phase diagram of a piecewise linear map with chaos

DOI10.1007/BF01009756zbMath0587.58028OpenAlexW2047777286MaRDI QIDQ1072185

Tamás Tél

Publication date: 1983

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01009756

zbMATH Keywords

invariant curvesphase diagraminvariant toritwo-dimensional mapevolution of strange attractorshomoclinic and heteroclinic points

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

A piecewise-linear invertible noodle map ⋮ Nonlinear dynamics and chaos in sigma-delta modulation ⋮ Symbolic dynamics for the Lozi map ⋮ Admissibility conditions for symbolic sequences of the Lozi map ⋮ Dynamics of a Hénon-Lozi-type map ⋮ Symbolic dynamics of the Lorenz equations.

Cites Work

• Unnamed Item
• Chaotic behavior in the Henon mapping
• On the Henon transformation
• Stable and unstable manifolds of the Henon mapping
• A two-dimensional mapping with a strange attractor
• Characteristic exponents and strange attractors
• Analytical Conditions for the Appearance of Homoclinic and Heteroclinic Points of a 2-dimensional Mapping: The Case of the Henon Mapping