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


Cite this article as:

Kuznecov A. P., Kuznecov S. P., Stankevich N. V. Four-dimensional system with torus attractor birth via saddle-node bifurcation of limit cycles in context of family of blue sky catastrophes. Izvestiya VUZ, 2015, vol. 23, iss. 4, pp. 32-39. DOI: https://doi.org/10.18500/0869-6632-2015-23-4-32-39

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Russian

Four-dimensional system with torus attractor birth via saddle-node bifurcation of limit cycles in context of family of blue sky catastrophes

Autors: 
Kuznecov Aleksandr Petrovich, Saratov State University
Kuznecov Sergej Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Stankevich Natalija Vladimirovna, Yuri Gagarin State Technical University of Saratov
Abstract: 

A new four-dimensional model with quasi-periodic dynamics is suggested. The torus attractor originates via the saddle-node bifurcation, which may be regarded as a member of a bifurcation family embracing different types of blue sky catastrophes. Also the torus birth through the Neimark-Sacker bifurcation occurs in some other region of the parameter space.   Download full version

DOI: 
10.18500/0869-6632-2015-23-4-32-39
References: 

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