FRACTAL DIMENSION FOR POINCARÉ RECURRENCES AS AN INDICATOR OF SYNCHRONIZED CHAOTIC REGIMES

DOI10.1142/S0218127400001456zbMath1090.37509OpenAlexW1998905161MaRDI QIDQ5474134

Nikolai F. Rul'kov, Wen-Wei Lin, Valentin Afraimovich

Publication date: 23 June 2006

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

Full work available at URL: https://doi.org/10.1142/s0218127400001456

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (9)

Asymptotic synchronization of modified logistic hyper-chaotic systems and its applications ⋮ Statistics of Poincaré recurrences in local and global approaches ⋮ Poincaré Recurrences in a Nonautonomous Chaotic Map ⋮ Statistical characteristics of the Poincaré return times for a one-dimensional nonhyperbolic map ⋮ Statistical properties of Poincaré recurrences and Afraimovich-Pesin dimension for the circle map ⋮ Poincaré Recurrences in Ergodic Systems Without Mixing ⋮ Analytical expression for zero Lyapunov exponent of chaotic noised oscillators ⋮ Local and global approaches to the problem of Poincaré recurrences. Applications in nonlinear dynamics ⋮ Poincaré recurrence statistics as an indicator of chaos synchronization

Cites Work

• Unnamed Item
• Diffusive coupling, dissipation, and synchronization
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS
• Pesin’s dimension for Poincaré recurrences
• Fundamentals of synchronization in chaotic systems, concepts, and applications
• Synchronization in chaotic systems

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