ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Kuznetsov A. P., Paksjutov V. I. About dynamics оf two Van der Pol - Duffing oscillators with dissipative coupling. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 6, pp. 48-64. DOI: 10.18500/0869-6632-2003-11-6-48-64

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon and_2003-6_kuznetsov-paksutov.pdf
(downloads: 0)
Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2003-11-6-48-64

About dynamics оf two Van der Pol - Duffing oscillators with dissipative coupling

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Paksjutov Vladimir Igorevich, Saratov State University
Abstract: 

Coupled Van der Pol - Duffing differential systems are considered for the case of dissipative and active coupling. The arrangement of the parameter space is studied, and possible physical effects are discussed.

Key words: 
-
Acknowledgments: 
This work was supported by a grant from the American Foundation for Civic Research (REС 006) and the Russian Foundation for Basic Research (03-02-16074).
Reference: 
  1. Pikovsky A, Rosenblum M, Kurths J. Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge: Cambridge University Press; 2001. 411 p. DOI: 10.1017/CBO9780511755743.
  2. Aronson DG, Ermentrout GB, Kopell N. Amplitude response of coupled oscillators. Physica D. 1990;41(3):403-449. DOI: 10.1016/0167-2789(90)90007-C.
  3. Poliashenko M, McKay SR, Smith CW. Chaos and nonisochronism in weakly coupled nonlinear oscillators. Phys. Rev. А. 1991;44(6):3452-3456. DOI: 10.1103/PhysRevA.44.3452.
  4. Poliashenko M, McKay SR, Smith CW. Hysteresis of synchronous - asynchronous regimes in а system оf two coupled oscillators. Phys. Rev. А. 1991;43(10):5638-5641. DOI: 10.1103/PhysRevA.43.5638.
  5. Ivanchenko MV, Osipov GB, Shalfeev VD. Self-synchronization оf nonscalar-coupled limit-cycle oscillators.
  6. Pastor I, Perez-Garcia VM, Encinas-Sanz F, Guerra JM. Ordered and chaotic behavior of two coupled van der Pol oscillators. Phys. Rev. E. 1993;48(1):171-182. DOI: 10.1103/physreve.48.171.
  7. Herrero M, Figueras M, Rius J, Pi F, Orriols G. Experimental observation of the amplitude death effect in two coupled nonlinear oscillators. Phys. Rev. Lett. 2000;84(23):5312-5315. DOI: 10.1103/PhysRevLett.84.5312.
Received: 
10.06.2003
Accepted: 
15.07.2003
Available online: 
06.12.2023
Published: 
31.12.2003
  • 333 reads