Fibonacci stairs and the Afraimovich-Pesin dimension for a stroboscopic section of a nonautonomous van der Pol oscillator

DOI10.1063/1.4926453zbMath1374.37030OpenAlexW1549528431WikidataQ85694103 ScholiaQ85694103MaRDI QIDQ4591688

Nadezhda I. Semenova, Vadim S. Anishchenko

Publication date: 17 November 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4926453

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Topological dynamics of nonautonomous systems (37B55) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (1)

Local and global approaches to the problem of Poincaré recurrences. Applications in nonlinear dynamics

Cites Work

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• Statistical properties of Poincaré recurrences and Afraimovich-Pesin dimension for the circle map
• Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals
• Statistics of Poincaré recurrences for a class of smooth circle maps
• Statistics of return times: A general framework and new applications
• Poincar'e Recurrences in the Circle Map: Fibonacci Stairs
• Pesin’s dimension for Poincaré recurrences
• Small denominators. I. Mappings of the circumference onto itself

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