Numerical simulation in nonlinear dynamic systems with retiming of motions of individual components

We study differential equations describing nonlinear processes in dynamical systems (macro-systems) that consist of a large number of components (micro-systems) and allow a synchronization in behavior of these components. In physics, these processes underlie the echo phenomena. An empirical solution...

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Bibliographic Details
Published in:Journal of physics. Conference series 2017-12, Vol.936 (1), p.12043
Main Authors: Apushkinskaya, D, Apushkinskiy, E
Format: Article
Language:English
Subjects:
Differential equations
Dynamical systems
Empirical equations
Mathematical analysis
Nonlinear dynamics
Nonlinear systems
Perturbation
Physics
Power series
Synchronism
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Description
Summary:We study differential equations describing nonlinear processes in dynamical systems (macro-systems) that consist of a large number of components (micro-systems) and allow a synchronization in behavior of these components. In physics, these processes underlie the echo phenomena. An empirical solution of such equations is proposed. A solution is given in the form of power series of power series of the spectra of external of external perturbations acting on a macro-system. Numerical simulations of this solution give a good agreement with a number of experimentally observed echo phenomena.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/936/1/012043