Extreme multistability: Attractor manipulation and robustness
IR@IICB: CSIR-Indian Institute of Chemical Biology, Kolkata
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Title |
Extreme multistability: Attractor manipulation and robustness
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Creator |
Hens, Chittaranjan
Dana, Syamal Kumar Feudel, Ulrike |
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Subject |
Nonlinear Dynamics
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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.
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Publisher |
American Institute of Physics
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Date |
2015
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Type |
Article
PeerReviewed |
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Format |
application/pdf
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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). |
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Relation |
http://dx.doi.org/10.1063/1.4921351
http://www.eprints.iicb.res.in/2207/ |
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