BIFURCATIONS DUE TO SMALL TIME-LAG IN COUPLED EXCITABLE SYSTEMS

DOI10.1142/S0218127405012831zbMath1092.37538arXivnlin/0311025MaRDI QIDQ5474262

Dragana Todorović, Nikola Buric

Publication date: 23 June 2006

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

Full work available at URL: https://arxiv.org/abs/nlin/0311025

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18)

Related Items (8)

Stability switches and multistability coexistence in a delay-coupled neural oscillators system ⋮ Phase models and clustering in networks of oscillators with delayed coupling ⋮ Bifurcation structure of two coupled FHN neurons with delay ⋮ Mechanism of appearing complex relaxation oscillations in a system of two synaptically coupled neurons ⋮ Stability switches and Hopf bifurcation in a coupled FitzHugh-Nagumo neural system with multiple delays ⋮ Stability, bifurcation and phase-locking of time-delayed excitatory-inhibitory neural networks ⋮ Bautin bifurcation analysis for synchronous solution of a coupled FHN neural system with delay ⋮ Hopf and Bogdanov-Takens bifurcations in a coupled FitzHugh-Nagumo neural system with delay

Cites Work

• Unnamed Item
• An approximation for prey-predator models with time delay
• Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Delay induced periodicity in a neural netlet of excitation and inhibition
• Synchronization in Relaxation Oscillator Networks with Conduction Delays
• Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Nonlinear difference-differential equations in prediction and learning theory.

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