Complicated quasiperiodic oscillations and chaos from driven piecewise-constant circuit: Chenciner bubbles do not necessarily occur via simple phase-locking

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• 作者：Tri Quoc Truong^a ; ^{s113190@stn.nagaokaut.ac.jp} ; Tadashi Tsubone^b ; ^{tsubone@vos.nagaokaut.ac.jp} ; Munehisa Sekikawa^c ; Naohiko Inaba^d ; ^{naohiko@yomogi.jp}
• 关键词：Quasiperiodic oscillations ; Lyapunov analysis ; Arnol&rsquo ; d resonance web ; Chenciner bubbles ; Piecewise-constant oscillator
• 刊名：Physica D: Nonlinear Phenomena
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：341
• 期：Complete
• 页码：1-9
• 全文大小：3423 K
• 卷排序：341

文摘

Arnol’d resonance webs in nonautonomous piecewise-constant oscillators are studied. We formulate a generalized procedure for bifurcation analysis of these dynamics. The Lyapunov exponents can be calculated with a precision similar to that of maps. Inevitably, the hysteresis considerably distorts the Chenciner bubbles. We numerically and experimentally observe Farey sequence.