Mode Interactions With Symmetry

DOI10.1080/02681119508806192zbMath0821.34031OpenAlexW2091196528MaRDI QIDQ4699099

Sofia B. S. D. Castro

Publication date: 10 September 1995

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: http://wrap.warwick.ac.uk/4041/1/WRAP_THESIS_deCastro_1993.pdf

zbMATH Keywords

Hopf bifurcationdeterminacyuniversal unfoldingsmixed mode problemmode interactions with symmetries

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Local and nonlocal bifurcation theory for dynamical systems (37G99) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items

Projections of patterns and mode interactions, Bifurcation analysis for spherically symmetric systems using invariant theory, Hidden symmetries and pattern formation in Lapwood convection, DEGENERATE BIFURCATIONS WITH Z₂⊕Z₂-SYMMETRY

Cites Work

• Heteroclinic orbits in a spherically invariant system
• Mixed-mode patterns of bifurcations from spherically symmetric basic states
• MODE INTERACTIONS WITH SPHERICAL SYMMETRY