On area-preserving non-hyperbolic chaotic maps: A case study.

DOI10.1016/S0960-0779(02)00455-1zbMath1033.37008MaRDI QIDQ1416198

Zeng-Rong Liu, Guan-Rong Chen

Publication date: 14 December 2003

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

zbMATH Keywords

chaosinvariant setarea-preserving mapnon-hyperbolicity

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

Module-phase synchronization in hyperchaotic complex Lorenz system after modified complex projection ⋮ Unknown inputs' adaptive observer for a class of chaotic systems with uncertainties ⋮ Existence of homoclinic orbits of an area-preserving map with a nonhyperbolic structure ⋮ INITIAL RECTIFIED ATTRACTORS FOR PERFECT GS AND Q-S SYNCHRONIZATION OF CHAOTIC SYSTEMS ⋮ Generalized synchronization of different dimensional chaotic dynamical systems

Cites Work

• On the concept of attractor
• Exotic attractors. From Liapunov stability to riddled basins
• Deterministic Nonperiodic Flow
• STABILITY OF ORDER: AN EXAMPLE OF HORSESHOES "NEAR" A LINEAR MAP