PMID: 22587141May 17, 2012

How to obtain extreme multistability in coupled dynamical systems

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
C R HensSyamal K Dana

Abstract

We present a method for designing an appropriate coupling scheme for two dynamical systems in order to realize extreme multistability. We achieve the coexistence of infinitely many attractors for a given set of parameters by using the concept of partial synchronization based on Lyapunov function stability. We show that the method is very general and allows a great flexibility in choosing the coupling. Furthermore, we demonstrate its applicability in different models, such as the Rössler system and a chemical oscillator. Finally we show that extreme multistability is robust with respect to parameter mismatch and, hence, a very general phenomenon in coupled systems.

References

Feb 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·N F RulkovH D Abarbanel
Jul 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Ulrike FeudelJ A Yorke
Jan 22, 1996·Physical Review Letters·J FossJ Milton
Jan 22, 2002·Physical Review Letters·Cristina Masoller
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H SunKenneth Showalter
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A G BalanovE Schöll
Aug 19, 2008·The American Naturalist·J Huisman, F J Weissing
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Calistus N NgonghalaKenneth Showalter

Citations

Oct 2, 2012·Chaos·Dibakar GhoshSyamal K Dana
Mar 22, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Mauro Di MarcoLuca Pancioni
Jun 1, 2015·Chaos·Chittaranjan HensUlrike Feudel
Mar 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E PadmanabanSyamal K Dana
Apr 2, 2018·Chaos·A Anzo-HernándezE Campos-Cantón
Apr 2, 2018·Chaos·Dawid DudkowskiTomasz Kapitaniak
May 22, 2019·Physical Review. E·Patrick LouodopHilda A Cerdeira
Jul 3, 2020·Chaos·Chunbiao LiZuohua Liu
Nov 4, 2019·Chaos·Dawid DudkowskiTomasz Kapitaniak
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J C Sprott, Chunbiao Li
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C R HensSyamal K Dana
Jan 1, 2021·Chaos·Jean-Marc Malasoma, Niels Malasoma
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mitesh S PatelRavindra E Amritkar

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