2017 |
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2. | Ujjwal, S R; Punetha, N; Prasad, A; Ramaswamy, R Emergence of chimeras through induced multistability Journal Article Physical Review E, 95 , pp. 032203 , 2017, ISSN: 2470-0053. Abstract | Links | BibTeX | Tags: Chimeras, Multistability, Quasiperiodicity @article{Ujjwal2017, title = {Emergence of chimeras through induced multistability}, author = {S R Ujjwal and N Punetha and A Prasad and R Ramaswamy}, url = {https://ramramaswamy.org/papers/165.pdf}, doi = {10.1103/PhysRevE.95.032203}, issn = {2470-0053}, year = {2017}, date = {2017-01-01}, journal = {Physical Review E}, volume = {95}, pages = {032203 }, abstract = {Chimeras, namely coexisting desynchronous and synchronized dynamics, are formed in an ensemble of identically coupled identical chaotic oscillators when the coupling induces multiple stable attractors, and further when the basins of the different attractors are intertwined in a complex manner. When there is coupling-induced multistability, an ensemble of identical chaotic oscillators—with global coupling, or also under the influence of common noise or an external drive (chaotic, periodic, or quasiperiodic)—inevitably exhibits chimeric behavior. Induced multistability in the system leads to the formation of distinct subpopulations, one or more of which support synchronized dynamics, while in others the motion is asynchronous or incoherent. We study the mechanism for the emergence of such chimeric states, and we discuss the generality of our results.}, keywords = {Chimeras, Multistability, Quasiperiodicity}, pubstate = {published}, tppubtype = {article} } Chimeras, namely coexisting desynchronous and synchronized dynamics, are formed in an ensemble of identically coupled identical chaotic oscillators when the coupling induces multiple stable attractors, and further when the basins of the different attractors are intertwined in a complex manner. When there is coupling-induced multistability, an ensemble of identical chaotic oscillators—with global coupling, or also under the influence of common noise or an external drive (chaotic, periodic, or quasiperiodic)—inevitably exhibits chimeric behavior. Induced multistability in the system leads to the formation of distinct subpopulations, one or more of which support synchronized dynamics, while in others the motion is asynchronous or incoherent. We study the mechanism for the emergence of such chimeric states, and we discuss the generality of our results. |
2010 |
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1. | M Agrawal A Prasad, ; Ramaswamy, R Quasiperiodic forcing of coupled chaotic systems Journal Article Physical Review E, 81 (2), pp. 026202, 2010. Abstract | Links | BibTeX | Tags: Quasiperiodicity, Strange nonchaotic attractors, Synchronization @article{Agrawal2010, title = { Quasiperiodic forcing of coupled chaotic systems}, author = {M Agrawal, A Prasad, and R Ramaswamy}, url = {https://link.aps.org/doi/10.1103/PhysRevE.81.026202}, doi = {10.1103/PhysRevE.81.026202}, year = {2010}, date = {2010-02-04}, journal = {Physical Review E}, volume = {81}, number = {2}, pages = {026202}, abstract = {We study the manner in which the effect of quasiperiodic modulation is transmitted in a coupled nonlinear dynamical system. A system of Rössler oscillators is considered, one of which is subject to driving, and the dynamics of other oscillators which are, in effect, indirectly forced is observed. Strange nonchaotic dynamics is known to arise only in quasiperiodically driven systems, and thus the transmitted effect is apparent when such motion is seen in subsystems that are not directly modulated. We also find instances of imperfect phase synchronization with forcing, where the system transits from one phase synchronized state to another, with arbitrary phase slips. The stability of phase synchrony for arbitrary initial conditions with identical forcing is observed as a general property of strange nonchaotic motion.}, keywords = {Quasiperiodicity, Strange nonchaotic attractors, Synchronization}, pubstate = {published}, tppubtype = {article} } We study the manner in which the effect of quasiperiodic modulation is transmitted in a coupled nonlinear dynamical system. A system of Rössler oscillators is considered, one of which is subject to driving, and the dynamics of other oscillators which are, in effect, indirectly forced is observed. Strange nonchaotic dynamics is known to arise only in quasiperiodically driven systems, and thus the transmitted effect is apparent when such motion is seen in subsystems that are not directly modulated. We also find instances of imperfect phase synchronization with forcing, where the system transits from one phase synchronized state to another, with arbitrary phase slips. The stability of phase synchrony for arbitrary initial conditions with identical forcing is observed as a general property of strange nonchaotic motion. |