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Lookup NU author(s): Professor Soumitro Banerjee, Professor Damian Giaouris, Dr Petros Missailidis, Otman Imrayed
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We consider the local bifurcations that can occur in a quasiperiodic orbit in a three-dimensional map: (a) a torus doubling resulting in two disjoint loops, (b) a torus doubling resulting in a single closed curve with two loops, (c) the appearance of a third frequency, and (d) the birth of a stable torus and an unstable torus. We analyze these bifurcations in terms of the stability of the point at which the closed invariant curve intersects a "second Poincare section". We show that these bifurcations can be classified depending on where the eigenvalues of this fixed point cross the unit circle.
Author(s): Banerjee S, Giaouris D, Missailidis P, Imrayed O
Publication type: Article
Publication status: Published
Journal: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Year: 2012
Volume: 22
Issue: 12
Print publication date: 01/12/2012
ISSN (print): 0218-1274
ISSN (electronic): 1793-6551
Publisher: World Scientific Publishing Co. Pte. Ltd.
URL: http://dx.doi.org/10.1142/S0218127412502896
DOI: 10.1142/S0218127412502896
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