FEATURES OF THE PARAMETER PLANE OF TWO NONIDENTICAL COUPLED VAN DER POL – DUFFING OSCILLATORS
Cite this article as:
Kuznetsov A. P., Paksyutov V. I. FEATURES OF THE PARAMETER PLANE OF TWO NONIDENTICAL COUPLED VAN DER POL – DUFFING OSCILLATORS. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 4, pp. 3-19. DOI: https://doi.org/10.18500/0869-6632-2005-13-4-3-19
The system of two nonidentical dissipative coupled Van der Pol – Duffing oscillators is considered. A possibility of Adler equation application to describe the synchronization areas is shown due to transition to the closed equations. There is a nontrivial form of the main synchronization tongue on the plane of the control parameters. The view of synchronization tongues system of the original differential model and the influence of the phase nonlinearity on its configuration are discussed. The case of the nonsymmetrical nonlinearity in oscillators is also considered.
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BibTeX
author = {A. P. Kuznetsov and V. I. Paksyutov},
title = {FEATURES OF THE PARAMETER PLANE OF TWO NONIDENTICAL COUPLED VAN DER POL – DUFFING OSCILLATORS},
year = {2005},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {13},number = {4},
url = {https://old-andjournal.sgu.ru/en/articles/features-of-the-parameter-plane-of-two-nonidentical-coupled-van-der-pol-duffing-oscillators},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2005-13-4-3-19},pages = {3--19},issn = {0869-6632},
keywords = {-},
abstract = {The system of two nonidentical dissipative coupled Van der Pol – Duffing oscillators is considered. A possibility of Adler equation application to describe the synchronization areas is shown due to transition to the closed equations. There is a nontrivial form of the main synchronization tongue on the plane of the control parameters. The view of synchronization tongues system of the original differential model and the influence of the phase nonlinearity on its configuration are discussed. The case of the nonsymmetrical nonlinearity in oscillators is also considered. }}