FOUR-DIMENSIONAL SYSTEM WITH TORUS ATTRACTOR BIRTH VIA SADDLE-NODE BIFURCATION OF LIMIT CYCLES IN CONTEXT OF FAMILY OF BLUE SKY CATASTROPHES
Cite this article as:
Kuznetsov A. P., Kuznetsov 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. Applied Nonlinear Dynamics, 2015, vol. 23, iss. 4, pp. 32-39. DOI: https://doi.org/10.18500/0869-6632-2015-23-4-32-39
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.
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BibTeX
author = {A. P. Kuznetsov and Sergey P. Kuznetsov and Nataliya Vladimirovna Stankevich},
title = {FOUR-DIMENSIONAL SYSTEM WITH TORUS ATTRACTOR BIRTH VIA SADDLE-NODE BIFURCATION OF LIMIT CYCLES IN CONTEXT OF FAMILY OF BLUE SKY CATASTROPHES},
year = {2015},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {23},number = {4},
url = {https://old-andjournal.sgu.ru/en/articles/four-dimensional-system-with-torus-attractor-birth-via-saddle-node-bifurcation-of-limit},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2015-23-4-32-39},pages = {32--39},issn = {0869-6632},
keywords = {Quasi-periodic dynamics,torus,Attractor,blue sky catastrophe,Neimark–Sacker bifurcation.},
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 }}