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Suppression of dynamics and frequency synchronization in coupled slow and fast dynamical systems
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SYSNO ASEP 0504826 Document Type J - Journal Article R&D Document Type The record was not marked in the RIV Subsidiary J Článek ve WOS Title Suppression of dynamics and frequency synchronization in coupled slow and fast dynamical systems Author(s) Gupta, Kajari (UIVT-O)
Ambika, G. (IN)Number of authors 2 Article number 147 Source Title European Physical Journal B. - : Springer - ISSN 1434-6028
Roč. 89, č. 6 (2016)Language eng - English Country DE - Germany Keywords financial-markets ; chaotic systems ; stock markets ; time scales ; spin model ; death ; oscillators ; limit ; information ; bubbles UT WOS 000377446200001 EID SCOPUS 84976408110 DOI 10.1140/epjb/e2016-70068-8 Annotation We present our study on the emergent states of two interacting nonlinear systems with differing dynamical time scales. We find that the inability of the interacting systems to fall in step leads to difference in phase as well as change in amplitude. If the mismatch is small, the systems settle to a frequency synchronized state with constant phase difference. But as mismatch in time scale increases, the systems have to compromise to a state of no oscillations. We illustrate this for standard nonlinear systems and identify the regions of quenched dynamics in the parameter plane. The transition curves to this state are studied analytically and confirmed by direct numerical simulations. As an important special case, we revisit the well-known model of coupled ocean-atmosphere system used in climate studies for the interactive dynamics of a fast oscillating atmosphere and slowly changing ocean. Our study in this context indicates occurrence of multi stable periodic states and steady states of convection coexisting in the system, with a complex basin structure. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2020
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