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- W2063529599 abstract "An exactly solvable chaotic oscillator with folded-band dynamics is shown. The oscillator is a hybrid dynamical system containing a linear ordinary differential equation and a nonlinear switching condition. Bounded oscillations are provably chaotic, and successive waveform maxima yield a one-dimensional piecewise-linear return map with segments of both positive and negative slopes. Continuous-time dynamics exhibit a folded-band topology similar to Rössler’s oscillator. An exact solution is written as a linear convolution of a fixed basis pulse and a discrete binary sequence, from which an equivalent symbolic dynamics is obtained. The folded-band topology is shown to be dependent on the symbol grammar." @default.
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- W2063529599 date "2012-06-01" @default.
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- W2063529599 title "Exact folded-band chaotic oscillator" @default.
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- W2063529599 doi "https://doi.org/10.1063/1.4704813" @default.
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