Bifurcations on Fully Inhomogeneous Networks

DOI10.1137/18M1230736zbMath1443.34039OpenAlexW3005275708MaRDI QIDQ5109768

Martin Golubitsky, Yangyang Wang, Punit Gandhi, Claire M. Postlethwaite, I. N. Stewart

Publication date: 13 May 2020

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

Full work available at URL: https://doi.org/10.1137/18m1230736

zbMATH Keywords

Hopf bifurcationnetworksnormal formscodimensionmode interactionsbifurcation theory

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10)

Related Items (6)

Amplified steady state bifurcations in feedforward networks ⋮ Overdetermined ODEs and rigid periodic states in network dynamics ⋮ Hypernetworks: Cluster Synchronization Is a Higher-Order Effect ⋮ Nonlinear Consensus on Networks: Equilibria, Effective Resistance, and Trees of Motifs ⋮ Nonlinear network dynamics with consensus-dissensus bifurcation ⋮ Reduced Lattices of Synchrony Subspaces and Their Indices

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