https://doi.org/10.1140/epjst/e2017-70037-1
Regular Article
Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic damping
1 Department of Physics, University of Wisconsin-Madison, Madison, WI 53706, USA
2 Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
3 Department of Mathematics, Faculty of Computer Science and Mathematics, University Of Kufa, Najaf, Iraq
4 Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
a e-mail: tomasz.kapitaniak@p.lodz.pl
Received: 2 February 2017
Revised: 7 March 2017
Published online: 21 June 2017
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.
© The Author(s) 2017
Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
