A simple family of exceptional maps with chaotic behavior

DOI10.1007/s12346-020-00361-wzbMath1437.37053OpenAlexW3007468014MaRDI QIDQ2301850

Carles Simó, Regina Martínez

Publication date: 25 February 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00361-w

zbMATH Keywords

chaotic dynamicsLyapunov exponentsquasi-periodicityhomoclinic/heteroclinic points

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic orbits of vector fields and flows (37C27) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (1)

Simple flows on tori with uncommon chaos

Cites Work

• Phase-space structure and regularization of Manev-type problems
• On the global dynamics of the anisotropic Manev problem
• On the anisotropic Manev problem
• The Many Facets of Chaos
• The global flow of the Manev problem
• Nonintegrability and chaos in the anisotropic Manev problem
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