On the persistence of quasi-periodic invariant tori for double Hopf bifurcation of vector fields

DOI10.1016/j.jde.2016.01.025zbMath1347.34061OpenAlexW2270000065MaRDI QIDQ264462

Xue-Mei Li

Publication date: 31 March 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.01.025

zbMATH Keywords

KAM theorydouble Hopf bifurcationquasi-periodic invariant torus

Mathematics Subject Classification ID

Related Items (8)

The relation between the size of perturbations and the dimension of tori in an infinite-dimensional KAM theorem of Pöschel ⋮ Quasi-periodic solutions for differential equations with an elliptic-type degenerate equilibrium point under small perturbations ⋮ Kolmogorov-Arnold-Moser theorem for nonlinear beam equations with almost-periodic forcing ⋮ Normal resonances in a double Hopf bifurcation ⋮ Turing-Hopf bifurcation and multi-stable spatio-temporal patterns in the Lengyel-Epstein system ⋮ Double Hopf Bifurcation and the Existence of Quasi-Periodic Invariant Tori in a Generalized Gopalsamy Delayed Neural Network Model ⋮ Slow–Fast Behaviors and Their Mechanism in a Periodically Excited Dynamical System with Double Hopf Bifurcations ⋮ Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems

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