Secondary bifurcations in systems with all-to-all coupling. Part II.

DOI10.1080/14689360600759689zbMath1118.34033OpenAlexW2104856265MaRDI QIDQ3424248

Ana Rodrigues, Ana Paula S. Dias

Publication date: 15 February 2007

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

Full work available at URL: https://doi.org/10.1080/14689360600759689

zbMATH Keywords

stabilityglobal couplingall-to-all couplingfiths order truncationthree cluster state

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (5)

Hopf normal form with \(S_N\) symmetry and reduction to systems of nonlinearly coupled phase oscillators ⋮ From Symmetric Networks to Heteroclinic Dynamics and Chaos in Coupled Phase Oscillators with Higher-Order Interactions ⋮ Chaos in generically coupled phase oscillator networks with nonpairwise interactions ⋮ Path formulation for multiparameter \(\mathbb D_3\)-equivariant bifurcation problems ⋮ Global Heteroclinic Rebel Dynamics Among Large 2-Clusters in Permutation Equivariant Systems

Cites Work

• S_N-EQUIVARIANT SYMMETRY-BREAKING BIFURCATIONS
• Secondary bifurcations in systems with all–to–all coupling

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