Collective dynamics of globally coupled phase oscillators under multisite delayed feedback stimulation

DOI10.1016/j.physd.2007.09.019zbMath1154.34018OpenAlexW2097889936WikidataQ58160766 ScholiaQ58160766MaRDI QIDQ2482149

C. Hauptmann, Peter Alexander Tass, O. E. Omel'chenko, Yuri Maistrenko

Publication date: 16 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.physd.2007.09.019

zbMATH Keywords

synchronizationspatial patterndelayed feedbackcoupled phase oscillators

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Control/observation systems governed by functional-differential equations (93C23) Asymptotic theory of functional-differential equations (34K25) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Control problems for functional-differential equations (34K35) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Closed-loop firing rate regulation of two interacting excitatory and inhibitory neural populations of the basal ganglia ⋮ Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback ⋮ Designing a deep brain stimulator to suppress pathological neuronal synchrony ⋮ Desynchronization of coupled limit-cycle oscillators through nonlinear output regulation ⋮ A MATHEMATICAL APPROACH TO DESYNCHRONIZATION OF COUPLED OSCILLATORS: APPLICATION TO A NEURONAL ENSEMBLE

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