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

By Julien Clinton Sprott, Sajad Jafari, Abdul Jalil M. Khalaf, Tomasz Kapitaniak. 2017

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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.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1fd1df16008a8af7d0c6dc53c257d956af24df43