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

C. Sprott, J.; Jafari, Sajad; Jalil M. Khalaf, Abdul; Kapitaniak, Tomasz

doi:10.1140/epjst/e2017-70037-1

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

Shared by NobleBlocks on Jun 1, 2017 • 12:00 AM UTC

Authors:

J. C. Sprott

Sajad Jafari

Abdul Jalil M. Khalaf

Abstract

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.

Subject

Attractor

Infinity

Countable set

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