Nonlinear resonance and devil's staircase in a forced planer system containing a piecewise linear hysteresis

DOI10.1016/j.chaos.2018.04.007zbMath1392.34043OpenAlexW2798007811MaRDI QIDQ723043

Yuu Miino, Hiroshi Kawakami, Tetsushi Ueta

Publication date: 30 July 2018

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.04.007

zbMATH Keywords

chaosDuffing equationhybrid systembifurcation analysisdevil's staircasenonlinear resonance

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Hybrid systems of ordinary differential equations (34A38)

Cites Work

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• On Lyapunov control of the Duffing equation
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