Quasi-Periodic Bifurcations of Higher-Dimensional Tori

DOI10.1142/S0218127416300160zbMath1343.34094OpenAlexW2469363212MaRDI QIDQ3187956

Kyohei Kamiyama, Tetsuro Endo, Motomasa Komuro, Kazuyuki Aihara

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1142/s0218127416300160

zbMATH Keywords

local bifurcationinvariant closed curvediscrete-time dynamical systemquasi-periodic bifurcationresonance bifurcationnormal bifurcationcontinuous-time dynamical systemdominant Lyapunov bundle (DLB)high-dimensional torusone-dimensional torus in sectionzero-dimensional torus in section

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Invariant manifolds for ordinary differential equations (34C45) Low-dimensional dynamical systems (37E99) Multifrequency systems of ordinary differential equations (34C46)

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Cites Work

• Unnamed Item
• Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance `bubble'
• Ergodic theory of differentiable dynamical systems
• On the nature of turbulence
• Elements of applied bifurcation theory

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