Synchronous dynamics of two coupled oscillators with inhibitory-to-inhibitory connection

DOI10.1016/J.CNSNS.2010.02.008zbMath1222.34088OpenAlexW2040754462MaRDI QIDQ720335

Shangjiang Guo, Jian Peng

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.02.008

zbMATH Keywords

stabilitydelaybifurcationcoupled oscillatorsnormal formsynchronization

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18)

Related Items (7)

Hopf bifurcation analysis of reaction-diffusion neural oscillator system with excitatory-to-inhibitory connection and time delay ⋮ Multiple pitchfork bifurcations and multiperiodicity coexistences in a delay-coupled neural oscillator system with inhibitory-to-inhibitory connection ⋮ Stability and Hopf bifurcation analysis in bidirectional ring network model ⋮ Synchronous dynamics and bifurcation analysis in two delay coupled oscillators with recurrent inhibitory loops ⋮ DYNAMICS IN TIME-DELAY RECURRENTLY COUPLED OSCILLATORS ⋮ SYNCHRONIZATION AND BIFURCATION IN LIMIT CYCLE OSCILLATORS WITH DELAYED COUPLINGS ⋮ The role of network structure and time delay in a metapopulation Wilson-Cowan model

Cites Work

• A simple global characterization for normal forms of singular vector fields
• Nonlinear dynamics and stability of analog neural networks
• Synergism and antagonism of neurons caused by an electrical synapse
• Elements of applied bifurcation theory.
• Synchronization and stable phase-locking in a network of neurons with memory.
• Delay induced periodicity in a neural netlet of excitation and inhibition
• Two-parameter bifurcations in a network of two neurons with multiple delays
• Equivariant Hopf bifurcation for neutral functional differential equations
• Symmetric functional differential equations and neural networks with memory
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Synchronization in chaotic systems
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