A MATHEMATICAL APPROACH TO DESYNCHRONIZATION OF COUPLED OSCILLATORS: APPLICATION TO A NEURONAL ENSEMBLE

DOI10.1142/S1793524513500095zbMath1280.93040OpenAlexW2165827638MaRDI QIDQ5397000

Ghazal Montaseri, Aras Adhami-Mirhosseini, Mohammad Javad Yazdanpanah

Publication date: 5 February 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524513500095

zbMATH Keywords

nonlinear output regulationlimit-cycle oscillatorsrobust stimulationsynchrony suppression

Mathematics Subject Classification ID

Neural biology (92C20) Nonlinear systems in control theory (93C10) Application models in control theory (93C95)

Related Items (2)

Designing a deep brain stimulator to suppress pathological neuronal synchrony ⋮ Desynchronization of coupled limit-cycle oscillators through nonlinear output regulation

Cites Work

• Desynchronization and inhibition of Kuramoto oscillators by scalar mean-field feedback
• Generalising the Kuramoto model for the study of neuronal synchronisation in the brain
• A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
• Control of neuronal synchrony by nonlinear delayed feedback
• Washout filter aided mean field feedback desynchronization in an ensemble of globally coupled neural oscillators
• Collective dynamics of globally coupled phase oscillators under multisite delayed feedback stimulation
• Output regulation of nonlinear systems
• DELAYED FEEDBACK SUPPRESSION OF COLLECTIVE RHYTHMIC ACTIVITY IN A NEURONAL ENSEMBLE
• Stabilization on zero-error manifolds and the nonlinear servomechanism problem
• Nonlinear Output Regulation
• MULTISITE COORDINATED DELAYED FEEDBACK FOR AN EFFECTIVE DESYNCHRONIZATION OF NEURONAL NETWORKS

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