Classification of Bifurcations of Quasi-Periodic Solutions Using Lyapunov Bundles

DOI10.1142/S0218127414300341zbMath1305.37025OpenAlexW2139865899MaRDI QIDQ5498595

Kazuyuki Aihara, Motomasa Komuro, Kyohei Kamiyama, Tetsuro Endo

Publication date: 10 February 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127414300341

zbMATH Keywords

quasi-periodic solutionlocal bifurcationdiscrete-time dynamical systemcontinuous-time dynamical systemdominant Lyapunov bundle (DLB)dominant Lyapunov exponent (DLE)invariant closed curve (ICC)Lyapunov vector (LV)

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Invariant manifolds for ordinary differential equations (34C45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical aspects of attractors and their bifurcations (37G35)

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