Poincaré recurrences time and local dimension of chaotic attractors

MaRDI QIDQ6654739

Yaroslav I. Boev, V. S. Anishchenko, Sergey V. Astakhov, Nadezhda Igorevna Biryukova

Publication date: 20 December 2024

Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)

zbMATH Keywords

Poincaré recurrenceattractor dimension

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dimension theory of smooth dynamical systems (37C45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

• Title not available (Why is that?)
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• A two-dimensional mapping with a strange attractor
• Some relations between dimension and Lyapunov exponents
• On the three-body problem and the equations of dynamics
• Controlling chaos
• FRACTAL DIMENSION FOR POINCARÉ RECURRENCES AS AN INDICATOR OF SYNCHRONIZED CHAOTIC REGIMES
• Statistical characteristics of the Poincaré return times for a one-dimensional nonhyperbolic map

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