MULTIPLE HOPF BIFURCATION AND CHAOTIC REVERSING WAVES IN PROBLEMS WITH O(2) SYMMETRY

DOI10.1142/S0218127404010199zbMath1129.37336OpenAlexW1968697509MaRDI QIDQ4655657

Faridon Amdjadi

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127404010199

zbMATH Keywords

traveling wavestorus bifurcationdirection reversing chaosMultiple Hopf bifurcation

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Cites Work

• Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points
• Symmetry-increasing bifurcation of chaotic attractors
• Oscillating waves arising from \(\text{O}(2)\) symmetry.
• Iterates of Maps with Symmetry
• The dynamics of triple convection
• Hopf bifurcation and symmetry: travelling and standing waves on the circle
• Bifurcation to Rotating Waves in Equations with $O(2)$-Symmetry

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