ON SYNCHRONIZATION AND CONTROL OF COUPLED WILSON–COWAN NEURAL OSCILLATORS

DOI10.1142/S0218127403006406zbMath1077.34040MaRDI QIDQ4653792

Tetsushi Ueta, Guan-Rong Chen

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

bifurcationsynchronizationcoupled neuronscontrolling chaosWilson-Cowan

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

On synchronization of networks of Wilson-Cowan oscillators with diffusive coupling ⋮ Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson-Cowan model ⋮ Analysis of chaotic oscillations induced in two coupled Wilson-Cowan models ⋮ Multiple pitchfork bifurcations and multiperiodicity coexistences in a delay-coupled neural oscillator system with inhibitory-to-inhibitory connection ⋮ Complexity induced by external stimulations in a neural network system with time delay ⋮ Networks of piecewise linear neural mass models ⋮ NONLINEAR DYNAMICS OF AN OSCILLATORY NEURAL NETWORK ACTING AS A MOTOR CENTRAL PATTERN GENERATOR

Cites Work

• Dynamics and bifurcations of two coupled neural oscillators with different connection types
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• Large Scale Spatially Organized Activity in Neural Nets
• A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
• NEURAL EXCITABILITY, SPIKING AND BURSTING

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