A Degenerate 2:3 Resonant Hopf--Hopf Bifurcation as Organizing Center of the Dynamics: Numerical Semiglobal Results

DOI10.1137/140968197zbMath1336.34059OpenAlexW821701945MaRDI QIDQ5266253

D. M. Alonso, G. Revel, Jorge L. Moiola

Publication date: 30 July 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140968197

zbMATH Keywords

nonlinear oscillatorsstrong resonanceHopf-Hopf bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (3)

An analysis of two degenerate double-Hopf bifurcations ⋮ Normal resonances in a double Hopf bifurcation ⋮ High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities

Uses Software

• MATCONT
• Matlab
• Lyapunov Exponents for ODE

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