Combining stability with symmetry properties in bifurcation problems

zbMath0612.58026MaRDI QIDQ1088235

Giampaolo Cicogna

Publication date: 1986

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1986__76__137_0

zbMATH Keywords

bifurcationdynamical systemsymmetry group

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Pattern selection with \(\mathrm{O}(3)\) symmetry
• Hopf bifurcation and related stability problems for periodic differential systems
• Quasi-invariant manifolds, stability, and generalized Hopf bifurcation
• Topics in stability and bifurcation theory
• An abstract setting for the study of the Hopf bifurcation
• Hopf bifurcation in the presence of symmetry
• Attractivity and Hopf bifurcation
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