Kathpalia, Aditi and Nagaraj, Nithin
(2019)
Causal stability and synchronization.
Chaos: An interdisciplinary Journal of Nonlinear Science, 29 (9).
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| Abstract: |
Synchronization of chaos arises between coupled dynamical systems and is very well understood as a temporal phenomenon, which leads the coupled systems to converge or develop a dependence with time. In this work, we provide a complementary spatial perspective to this phenomenon by introducing the novel idea of causal stability. We then propose and prove a causal stability synchronization theorem as a necessary and sufficient condition for complete synchronization. We also provide an empirical criterion to identify synchronizing variables in coupled identical chaotic dynamical systems based on intrasystem causal influences estimated using time series data of the driving system alone. For this, a recently proposed measure, Compression-Complexity Causality (CCC), is used. The sign and magnitude of the estimated CCC value capture the nature of dynamical influences from each variable to rest of the subsystem and are thus able to determine whether or not the variable, when used to couple another system, will drive that system to synchronization.
ACKNOWLEDGM |
| Item Type: |
Journal Paper
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| Subjects: |
School of Humanities > Consciousness Studies
Programmes > Consciousness Studies Programme |
| Divisions: |
Schools > Humanities |
| Date Deposited: |
23 Apr 2020 09:20 |
| Last Modified: |
23 Apr 2020 09:20 |
| Official URL: |
https://aip.scitation.org/doi/10.1063/1.5121193 |
| Related URLs: |
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| Funders: |
UNSPECIFIED |
| Projects: |
UNSPECIFIED |
| DOI: |
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| URI: |
http://eprints.nias.res.in/id/eprint/1886 |
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