The Shape of Phase-Resetting Curves in Oscillators with a Saddle Node on an Invariant Circle Bifurcation

DOI10.1162/NECO_a_00370zbMath1268.92016WikidataQ51324215 ScholiaQ51324215MaRDI QIDQ2840885

Bart E. Oldeman, G. Bard Ermentrout, Leon Glass

Publication date: 23 July 2013

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

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Biological rhythms and synchronization (92B25)

Related Items

Mathematical frameworks for oscillatory network dynamics in neuroscience, Solving Winfree's puzzle: The isochrons in the FitzHugh-Nagumo model, Synchronization of delayed coupled neurons in presence of inhomogeneity, Local Linear Approximation of the Jacobian Matrix Better Captures Phase Resetting of Neural Limit Cycle Oscillators, A Continuation Approach to Computing Phase Resetting Curves, Predicting the Existence and Stability of Phase-Locked Mode in Neural Networks Using Generalized Phase-Resetting Curve, Phase reduction and phase-based optimal control for biological systems: a tutorial, Synchronization of Electrically Coupled Resonate-and-Fire Neurons, Functional characterization of oscillatory and excitable media

Cites Work

• Unnamed Item
• Unnamed Item
• Mathematical foundations of neuroscience
• Phase locking of biological clocks
• Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
• Isochrons and phaseless sets
• Continuation-based Computation of Global Isochrons
• Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
• CONTINUATION OF CONNECTING ORBITS IN 3D-ODEs (I): POINT-TO-CYCLE CONNECTIONS
• On the Phase Reduction and Response Dynamics of Neural Oscillator Populations