FORMATION AND BREAKDOWN OF A MULTILAYERED CLOSED CURVE IN NONINVERTIBLE MAPS
Cite this article as:
Zhusubaliyev Z. Т., Yanochkina О. О. FORMATION AND BREAKDOWN OF A MULTILAYERED CLOSED CURVE IN NONINVERTIBLE MAPS. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 1, pp. 51-60. DOI: https://doi.org/10.18500/0869-6632-2010-18-1-51-60
The paper describes the mechanism for the formation of closed invariant curves that are formed as layered structures of several sets of interlacing manifolds each with their associated stable or unstable resonance modes. Such invariant curves can arise, for instance, if the saddle cycle on a «simple resonance curves» undergoes perioddoubling or pitchfork bifurcations transversely to the circumference of the closed curve.
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BibTeX
author = {Z. Т. Zhusubaliyev and О. О. Yanochkina},
title = {FORMATION AND BREAKDOWN OF A MULTILAYERED CLOSED CURVE IN NONINVERTIBLE MAPS},
year = {2010},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {18},number = {1},
url = {https://old-andjournal.sgu.ru/en/articles/formation-and-breakdown-of-multilayered-closed-curve-in-noninvertible-maps},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2010-18-1-51-60},pages = {51--60},issn = {0869-6632},
keywords = {Twodimensional endomorphisms,multilayered closed invariant curve,quasiperiodic dynamics.},
abstract = {The paper describes the mechanism for the formation of closed invariant curves that are formed as layered structures of several sets of interlacing manifolds each with their associated stable or unstable resonance modes. Such invariant curves can arise, for instance, if the saddle cycle on a «simple resonance curves» undergoes perioddoubling or pitchfork bifurcations transversely to the circumference of the closed curve. }}