Chaos-free oscillations

Freire, Joana G.; Gallas, Marcia R.; Gallas, Jason A. C.

doi:10.1209/0295-5075/118/38003

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Chaos-free oscillations

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Gallas, Marcia R.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Gallas, Jason A. C.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Freire, J. G., Gallas, M. R., & Gallas, J. A. C. (2017). Chaos-free oscillations. EPL, 118(3): 38003. doi:10.1209/0295-5075/118/38003.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002E-27C3-6

Abstract

Oscillators have widespread applications in micro- and nanomechanical devices, in lasers of various types, in chemical and biochemical models, among others. However, applications are normally marred by the presence of chaos, requiring expensive control techniques to bypass it. Here, we show that the low-frequency limit of driven systems, a poorly explored region, is a wide chaos-free zone. Specifically, for a popular model of micro- and nanomechanical devices and for the Brusselator, we report the discovery of an unexpectedly wide mosaic of phases resulting from stable periodic oscillations of increasing complexity but totally free from chaos. Copyright (C) EPLA, 2017