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

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Leonov G. A. Effective criteria for the existence of homoclinic bifurcations in dissipative systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 3, pp. 20-26. DOI: 10.18500/0869-6632-2005-13-3-20-26

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
531.36
DOI: 
10.18500/0869-6632-2005-13-3-20-26

Effective criteria for the existence of homoclinic bifurcations in dissipative systems

Autors: 
Leonov Gennadij Alekseevich, Saint Petersburg State University
Abstract: 

The path bifurcation problem is formulated. The application of it for the classical result of F. Tricomi on the existence of homoclinic bifurcations in a dissipative pendulum system is discussed. The survey of results concerning to the solving of the path homoclinic bifurcation problems for Lorenz system is given.

Key words: 
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Reference: 
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Received: 
02.06.2005
Accepted: 
02.06.2005
Published: 
31.10.2005
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