THE CALCULATION OF THE HOPF/HOPF MODE INTERACTION POINT IN PROBLEMS WITH Z2-SYMMETRY

DOI10.1142/S0218127402005595zbMath1044.37040MaRDI QIDQ4736274

Faridon Amdjadi

Publication date: 9 August 2004

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

zbMATH Keywords

Hopf bifurcationmode interactioncentre manifold reduction\(\mathbb Z^2\)-symmetry

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (1)

Various closeness results in discretized bifurcations

Cites Work

• A note on the calculation of paths of Hopf bifurcations
• Singularities of vector fields
• Oscillating waves arising from \(\text{O}(2)\) symmetry.
• The Computation of Symmetry-Breaking Bifurcation Points
• The Calculation of Hopf Points by a Direct Method
• A Direct Method for the Computation of Hopf Bifurcation Points
• The dynamics of triple convection
• Steady-state/Hopf mode interaction at a symmetry-breaking Takens-Bogdanov point
• Numerical Methods for Steady State/Hopf Mode Interactions
• BIFURCATION ANALYSIS OF DOUBLE TAKENS–BOGDANOV POINTS OF NONLINEAR EQUATIONS WITH A Z₂-SYMMETRY
• Numerical methods for steady-state mode interactions

This page was built for publication: THE CALCULATION OF THE HOPF/HOPF MODE INTERACTION POINT IN PROBLEMS WITH Z₂-SYMMETRY