Statistics of Poincaré recurrences in local and global approaches

DOI10.1016/j.cnsns.2013.05.013zbMath1344.37017OpenAlexW1983284429MaRDI QIDQ312849

Yaroslav I. Boev, Nadezhda I. Biryukova, Vadim S. Anishchenko, Sergey V. Astakhov, Galina I. Strelkova

Publication date: 9 September 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.05.013

zbMATH Keywords

noisefractal dimensionPoincaré recurrencesAfraimovich-Pesin dimension

Mathematics Subject Classification ID

Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items

Poincaré Recurrences in a Nonautonomous Chaotic Map, Statistical properties of Poincaré recurrences and Afraimovich-Pesin dimension for the circle map, Poincaré Recurrences in Ergodic Systems Without Mixing, Local and global approaches to the problem of Poincaré recurrences. Applications in nonlinear dynamics, Recurrence quantity analysis based on singular value decomposition

Cites Work

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• Advanced synergetics. Instability hierarchies of self-organizing systems and devices
• Stochastic resonance in chaotic systems
• Dimensions for recurrence times: topological and dynamical properties
• Statistics of return times: A general framework and new applications
• Diagnostics of stochastic resonance using Poincaré recurrence time distribution
• Controlling chaos
• Pesin’s dimension for Poincaré recurrences
• Synchronization in chaotic systems
• Topological Entropy
• FRACTAL DIMENSION FOR POINCARÉ RECURRENCES AS AN INDICATOR OF SYNCHRONIZED CHAOTIC REGIMES
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
• Statistical characteristics of the Poincaré return times for a one-dimensional nonhyperbolic map