Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

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Navrotskaya E. V., Smirnov D. A., Bezruchko B. P. Phase Dynamics Modeling Technique for Estimation of Delayed Couplings between Nonlinear Oscillators Accounting for Influence of Amplitudes. Izvestiya of Saratov University. Physics , 2015, vol. 15, iss. 4, pp. 28-37. DOI: 10.18500/1817-3020-2015-15-4-28-37

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Heading: 
Physics
UDC: 
УДК 530.18
DOI: 
10.18500/1817-3020-2015-15-4-28-37

Phase Dynamics Modeling Technique for Estimation of Delayed Couplings between Nonlinear Oscillators Accounting for Influence of Amplitudes

Autors: 
Navrotskaya Elena Vladimirovna, Saratov State University
Smirnov Dmitriy Alekseevich, Saratov State University
Bezruchko Boris Petrovich, Saratov State University
Abstract: 

An established interval estimator of a time delay in coupling between oscillators, which is based on empirical modeling of phase dynamics and maximum likelihood formalism, is shown to give sometimes erroneous conclusions about the value of the time delay. It occurs when the dynamics of amplitudes affects phases, which is typical of nonlinear oscillatory systems under the influence of strong noises or in chaotic regimes. We suggest an empirical criterion to diagnose such situations and a modified estimator of time delay which allows one to avoid erroneous conclusions. Both approaches are applied to the estimation of couplings between climate processes El-Nino/Southern Oscillation and North Atlantic Oscillation from observational data.

Key words: 
delayed couplings
nonlinear dynamics
phase dynamics modeling
Roessler system
El-Nino/Southern Oscillation
North Atlantic Oscillation
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