Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic damping

In this paper, we describe a periodically-forced oscillator with spatially-periodic damping. This system has an infinite number of coexisting nested attractors, including limit cycles, attracting tori, and strange attractors. We are aware of no similar example in the literature.

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2017-06, Vol.226 (9), p.1979-1985
Main Authors: Sprott, Julien C., Jafari, Sajad, Khalaf, Abdul Jalil M., Kapitaniak, Tomasz
Format: Article
Language:English
Subjects:
Atomic
Chaos theory
Classical and Continuum Physics
Condensed Matter Physics
Damping
Infinity
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Oscillators
Physics
Physics and Astronomy
Recent Advances in Nonlinear Dynamics and Complex Structures: Fundamentals and Applications
Regular Article
Strange attractors
Toruses
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Description
Summary:In this paper, we describe a periodically-forced oscillator with spatially-periodic damping. This system has an infinite number of coexisting nested attractors, including limit cycles, attracting tori, and strange attractors. We are aware of no similar example in the literature.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2017-70037-1