Two-cluster bifurcations in systems of globally pulse-coupled oscillators

DOI10.1016/j.physd.2011.10.017zbMath1252.34042arXiv1103.6154OpenAlexW1981270967MaRDI QIDQ2427988

Sergiy Yanchuk, Leonhard Lücken

Publication date: 19 April 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.6154

zbMATH Keywords

bifurcationsynchronizationclustersphase response curvepulse couplingPhase oscillators

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items

Jittering regimes of two spiking oscillators with delayed coupling, Two-cluster bifurcations in systems of globally pulse-coupled oscillators, Transient chaos in two coupled, dissipatively perturbed Hamiltonian Duffing oscillators, Dynamics of Oscillatory Networks with Pulse Delayed Coupling, Synchronization patterns: from network motifs to hierarchical networks, A survey on the modeling of hybrid behaviors: how to account for impulsive jumps properly

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