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

Alexander P. Kuznetsov; Sergey P. Kuznetsov; Nataliya V. Stankevich

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arXiv · 1512.00648

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

Alexander P. Kuznetsov·Sergey P. Kuznetsov·Nataliya V. Stankevich

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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 trough the Neimark-Sacker bifurcation occurs in some other region of the parameter space.

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Alexander P. Kuznetsov, Sergey P. Kuznetsov, Nataliya V. Stankevich. 2015-12-02. Four-dimensional system with torus attractor birth via saddle-node bifurcation of limit cycles in content of family of blue sky catastrophes. https://arxiv.org/abs/1512.00648

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