For citation:
Kuznetsov A. P., Turukina L. V. Kicked Van der Pol oscillator: from differential equation to maps. Izvestiya VUZ. Applied Nonlinear Dynamics, 2001, vol. 9, iss. 6, pp. 69-82. DOI: 10.18500/0869-6632-2001-9-6-69-82
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):
(downloads: 0)
Language:
Russian
Article type:
Article
UDC:
517.9
Kicked Van der Pol oscillator: from differential equation to maps
Autors:
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Turukina L. V., Saratov State University
Abstract:
Dynamics of а kicked Van der Pol system is considered. Approximate 2D and 1D maps are derived. Comparative analysis of efficiency of these maps is undertaken with the help of dynamical regimes charts, bifurcation diagrams and phase portraits technique. Peculiarities of the synchronization effects the kicked oscillator are discussed in comparison with traditional circle map.
Key words:
Acknowledgments:
The work was supported by the programm CRDF REG-006 (grant REC-006), grant RFBR (№ 00-02-17509 and № 01-02-06391) and Foundation for Assistance of the National Science Foundation.
Reference:
-
Received:
11.06.2001
Accepted:
10.12.2001
Published:
30.04.2002
Journal issue:
- 97 reads