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Extreme multistability: Attractor manipulation and robustness

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Title Extreme multistability: Attractor manipulation and robustness
 
Creator Hens, Chittaranjan
Dana, Syamal Kumar
Feudel, Ulrike
 
Subject Nonlinear Dynamics
 
Description The coexistence of infinitely many attractors is called extreme multistability in dynamical systems.
In coupled systems, this phenomenon is closely related to partial synchrony and characterized by the
emergence of a conserved quantity. We propose a general design of coupling that leads to partial
synchronization, which may be a partial complete synchronization or partial antisynchronization and
even a mixed state of complete synchronization and antisynchronization in two coupled systems and, thereby reveal the emergence of extreme multistability. The proposed design of coupling has wider options and allows amplification or attenuation of the amplitude of the attractors whenever it is necessary. We demonstrate that this phenomenon is robust to parameter mismatch of the coupled oscillators.
 
Publisher American Institute of Physics
 
Date 2015
 
Type Article
PeerReviewed
 
Format application/pdf
 
Identifier http://www.eprints.iicb.res.in/2207/1/CHAOS__V._25__(_5)_____Article_Number_053112__;2015[16].pdf
Hens, Chittaranjan and Dana, Syamal Kumar and Feudel, Ulrike (2015) Extreme multistability: Attractor manipulation and robustness. Chaos, 25 (5).
 
Relation http://dx.doi.org/10.1063/1.4921351
http://www.eprints.iicb.res.in/2207/