Hopf Bifurcation in the Presence of Spherical Symmetry: Analytical Results

DOI10.1137/0520036zbMath0681.58030OpenAlexW1982120813MaRDI QIDQ4730510

Maurice Rossi, Gérard Iooss

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520036

zbMATH Keywords

stabilityperiodic solutionsHopf bifurcationrotating wavesstanding wavesO(3)-symmetrybifurcating periodic orbitstetrahedral waves

Mathematics Subject Classification ID

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

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A Hopf bifurcation with spherical symmetry, Steady-state bifurcation with O(3)-symmetry