Geodesic
Four-dimensional system with torus attractor birth via saddle-node bifurcation of limit cycles in context of family of blue sky catastrophes
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 23 (2015) no. 4, pp. 32-39

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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.
Keywords: Quasi-periodic dynamics, torus, attractor, blue sky catastrophe, Neimark–Sacker bifurcation. 
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     author = {A. P. Kuznetsov and S. P. Kuznetsov and N. V. Stankevich},
     title = {Four-dimensional system with torus attractor birth via saddle-node bifurcation of limit cycles in context of family of blue sky catastrophes},
     journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
     pages = {32--39},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IVP_2015_23_4_a2/}
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A. P. Kuznetsov; S. P. Kuznetsov; N. V. Stankevich. Four-dimensional system with torus attractor birth via saddle-node bifurcation of limit cycles in context of family of blue sky catastrophes. Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 23 (2015) no. 4, pp. 32-39. http://geodesic.mathdoc.fr/item/IVP_2015_23_4_a2/