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Discontinuous spirals of stable periodic oscillations

Sack A, Freire JG, Lindberg E, Pöschel T, Gallas J (2013)

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Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2013

Journal

Publisher: Nature Publishing Group: Open Access Journals - Option B

Book Volume: 3

Article Number: 3350

DOI: 10.1038/srep03350

Abstract

We report the experimental discovery of a remarkable organization of the set of self-generated periodic oscillations in the parameter space of a nonlinear electronic circuit. When control parameters are suitably tuned, the wave pattern complexity of the periodic oscillations is found to increase orderly without bound. Such complex patterns emerge forming self-similar discontinuous phases that combine in an artful way to produce large discontinuous spirals of stability. This unanticipated discrete accumulation of stability phases was detected experimentally and numerically in a Duffing-like proxy specially designed to bypass noisy spectra conspicuously present in driven oscillators. Discontinuous spirals organize the dynamics over extended parameter intervals around a focal point. They are useful to optimize locking into desired oscillatory modes and to control complex systems. The organization of oscillations into discontinuous spirals is expected to be generic for a class of nonlinear oscillators.

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How to cite

APA:

Sack, A., Freire, J.G., Lindberg, E., Pöschel, T., & Gallas, J. (2013). Discontinuous spirals of stable periodic oscillations. Scientific Reports, 3. https://doi.org/10.1038/srep03350

MLA:

Sack, Achim, et al. "Discontinuous spirals of stable periodic oscillations." Scientific Reports 3 (2013).

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