Global Heteroclinic Rebel Dynamics Among Large 2-Clusters in Permutation Equivariant Systems

DOI10.1137/20M1361493zbMath1487.37067arXiv2008.06944OpenAlexW3185081540MaRDI QIDQ5158626

Bernold Fiedler, Felix P. Kemeth, Katharina Krischer, Sindre W. Haugland

Publication date: 25 October 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06944

zbMATH Keywords

coupled oscillatorsgradient flowsymmetric groupequivariant bifurcationcluster dynamicsStuart-Landau oscillator

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Equivariant dynamical systems (37C81)

Uses Software

• SciPy
• Python

Cites Work

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