Discrete model of the coupled nonlinear oscillators


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Abstract

The sampling sequences of counting of pulse characteristics of quasi-harmonics oscillators are used for transition to discrete time in the equations of the movement of nonlinear oscillatory systems with many degrees of freedom. The finite-difference algorithm of modeling of nonlinear dynamics of oscillators is as a result offered. The differential scheme has the second order of accuracy on discrete time, keeps a form of pulse characteristics of oscillators and is well joined to methods of digital processing of signals. The example of modeling of a nonlinear resonance in two coupled Duffing oscillators is given.

About the authors

E.Yu. Fedyunin

Самарский университет

Author for correspondence.
Email: fedyunin_eduard@mail.ru

A.N. Shilin

Самарский университет

Email: shilax@yandex.ru

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Copyright (c) 2016 Fedyunin E., Shilin A.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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