The Andronov-Hopf bifurcation with \(2:1\) resonance

DOI10.1007/s10958-005-0241-9zbMath1120.37030OpenAlexW2025232708MaRDI QIDQ997780

Dmitriy Yu. Volkov

Publication date: 7 August 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0241-9

zbMATH Keywords

invariant tori

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcations of singular points in dynamical systems (37G10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Normal resonances in a double Hopf bifurcation ⋮ The Hopf-Hopf bifurcation with 2:1 resonance: periodic solutions and invariant tori

Cites Work

• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Bifurcation of higher dimensional Tori
• Bifurcations de tores invariants
• Classification and unfoldings of \(1:2\) resonant Hopf bifurcation
• Stable and Random Motions in Dynamical Systems
• The double Hopf bifurcation with 2:1 resonance
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