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Maksimov A. G. On construction of two asymptotic orbits in the phase space of dynamic systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 1, pp. 43-51.

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9-530.1

On construction of two asymptotic orbits in the phase space of dynamic systems

Autors: 
Maksimov Andrej Gennadevich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

The method of numerical construction of bifurcation multitude corresponding to the existence of two asymptotic orbits in the phase space G of finite dimensional dynamic systems has been suggested. It is based on the analysis of mutual arrangement of one dimensional unstable separatrice and a family of contactless surface in G. The described method sufficiently decreases expenditure of «computer» time and it is rather effective even in the case of complex bifurcation multitudes and two asymptotic orbits. The results of application of the method for particular dynamic systems are given.

Key words: 
-
Acknowledgments: 
The author is grateful to V.I. Nekorkin for useful discussions and constant attention to the work.
Reference: 
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Received: 
17.12.1993
Accepted: 
22.03.1994
Published: 
27.06.1994
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