The Influence of Limit Cycle Topology on the Phase Resetting Curve

DOI10.1162/089976602753633376zbMath0994.92008OpenAlexW2113777095WikidataQ78000547 ScholiaQ78000547MaRDI QIDQ4542437

Carmen C. Canavier, Sorinel Adrian Oprisan

Publication date: 10 October 2002

Published in: Neural Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1162/089976602753633376

zbMATH Keywords

circuitsbursting neuronsneural limit cycle oscillators

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (7)

Existence and stability criteria for phase-locked modes in ring neural networks based on the spike time resetting curve method ⋮ Local Linear Approximation of the Jacobian Matrix Better Captures Phase Resetting of Neural Limit Cycle Oscillators ⋮ Predicting the Existence and Stability of Phase-Locked Mode in Neural Networks Using Generalized Phase-Resetting Curve ⋮ The Combined Effects of Inhibitory and Electrical Synapses in Synchrony ⋮ A geometric approach to phase response curves and its numerical computation through the parameterization method ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Phase response characteristics of model neurons determine which patterns are expressed in a ring circuit model of gait generation
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• Synchronization of Pulse-Coupled Biological Oscillators
• Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
• Learning model for coupled neural oscillators
• Phase Equations for Relaxation Oscillators

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