Characterization of transition to chaos with multiple positive Lyapunov exponents by unstable periodic orbits

DOI10.1016/S0375-9601(00)00335-2zbMath1115.37317OpenAlexW2094120427MaRDI QIDQ997912

Ying-Cheng Lai, Ruslan L. Davidchack

Publication date: 8 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00335-2

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Smooth dynamical systems: general theory (37C99)

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Cites Work

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• Fractal dimension of spatially extended systems
• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• Unstable dimension variability: A source of nonhyperbolicity in chaotic systems
• Quantitative universality for a class of nonlinear transformations
• Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
• Controlling chaos in high dimensional systems
• Ergodic theory of chaos and strange attractors