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

2017200 citationsJournal Articlehybrid Open Access

Authors

J. C. Sprott · University of Wisconsin–Madison

Sajad Jafari · Amirkabir University of Technology

Abdul Jalil M. Khalaf · University of Kufa

Tomasz Kapitaniak · Lodz University of Technology

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.

Topics & Keywords

Nonlinear Dynamics and Pattern Formation Chaos control and synchronization Quantum chaos and dynamical systems

Publication Details

Published in: The European Physical Journal Special Topics

Volume 226, Issue 9, pp. 1979-1985

DOI: 10.1140/epjst/e2017-70037-1

Field-Weighted Citation Impact: 20.14

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

Authors

Abstract

Topics & Keywords

Publication Details