On Weak Lyapunov Exponent and Sensitive Dependence of Interval Maps

DOI10.1142/S021812741450120XzbMath1302.37028MaRDI QIDQ2934555

Xinxing Wu, Pei-Yong Zhu, Guan-Rong Chen

Publication date: 15 December 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

sensitive dependenceasymptotically periodic pointweak Lyapunov exponent

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Lyapunov exponents and sensitive dependence
• On Lyapunov exponent and sensitivity.
• Chaotic properties of mappings on a probability space.
• Weak-mixing implies sensitive dependence
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• A note on positive Lyapunov exponent and sensitive dependence on initial conditions

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