Bifurcations in dynamical systems with interior symmetry

DOI10.1080/14689360903489935zbMath1205.37074OpenAlexW2055922082MaRDI QIDQ3580098

Fernando Antoneli

Publication date: 11 August 2010

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360903489935

zbMATH Keywords

equivariant dynamical systemssymmetry-breaking bifurcationsequivariant branching lemmaequivariant Hopf theoreminterior symmetry

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Cites Work

• Some curious phenomena in coupled cell networks
• SYMMETRY AND SYNCHRONY IN COUPLED CELL NETWORKS 2: GROUP NETWORKS
• SYMMETRY AND SYNCHRONY IN COUPLED CELL NETWORKS 1: FIXED-POINT SPACES
• SYMMETRY AND SYNCHRONY IN COUPLED CELL NETWORKS 3
• Hopf Bifurcation in Coupled Cell Networks with Interior Symmetries
• Interior symmetry and local bifurcation in coupled cell networks
• Nonlinear dynamics of networks: the groupoid formalism

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