Synchronization: the ratchet phenomenon

DOI10.1016/J.CHAOS.2008.04.021zbMath1198.34055OpenAlexW2072532792MaRDI QIDQ602399

Robert Badard

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.04.021

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Chaos control for problems involving ordinary differential equations (34H10)

Cites Work

• Coupling of simple square abstract oscillators: synchronized periodic solutions are generic
• Effect of the potential shape and of a Brownian particle mass on noise-induced transport
• The set of maps \(F_{a,b}:x\mapsto x+a+{b\over 2\pi}\sin(2\pi x)\) with any given rotation interval is contractible
• Rotation Sets for Maps of Tori
• The width of Arnold tongues for the sine circle map
• Analytic Quasi-Periodic Curves of Discontinuous Type on a Torus
• Categories of chaos and fractal basin boundaries in forced predator-prey models
• On the firing maps of a general class of forced integrate and fire neurons

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