The nonmonotonic twist maps and basic hyperbolic sets

DOI10.1007/BF02871980zbMath0922.58061MaRDI QIDQ1286641

Jian Cheng, Yan Qin, Chong-Qing Cheng

Publication date: 14 October 1999

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensiontopological entropyhorseshoesbasic hyperbolic sets

Mathematics Subject Classification ID

Ergodic theory (37A99) Dynamical systems with hyperbolic behavior (37D99)

Cites Work

• Chaotic trajectories in the standard map. The concept of anti- integrability
• Nonmonotonic twist maps
• Plenty of elliptic islands for the standard family of area preserving maps
• Stable and Random Motions in Dynamical Systems
• Dimension, entropy and Lyapunov exponents
• Matrix Analysis
• Topological entropy of standard type monotone twist maps