Existence and stability criteria for phase-locked modes in ring neural networks based on the spike time resetting curve method
From MaRDI portal
Publication:1629006
DOI10.1016/j.jtbi.2009.09.036zbMath1403.92010OpenAlexW2017967857WikidataQ51786119 ScholiaQ51786119MaRDI QIDQ1629006
Publication date: 11 December 2018
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2009.09.036
Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20)
Related Items (4)
Phase-locking and bistability in neuronal networks with synaptic depression ⋮ Predicting the Existence and Stability of Phase-Locked Mode in Neural Networks Using Generalized Phase-Resetting Curve ⋮ Exponential transient propagating oscillations in a ring of spiking neurons with unidirectional slow inhibitory synaptic coupling ⋮ Effects of asymmetric coupling and self-coupling on metastable dynamical transient rotating waves in a ring of sigmoidal neurons
Cites Work
- Chemical oscillations, waves, and turbulence
- Coupled oscillators and the design of central pattern generators
- Isochrons and phaseless sets
- Patterns of phase compromise in biological cycles
- A mathematical criterion based on phase response curves for stability in a ring of coupled oscillators
- Control of multistability in ring circuits of oscillators
- Phase response characteristics of model neurons determine which patterns are expressed in a ring circuit model of gait generation
- Heteroclinic cycles in rings of coupled cells
- Possible functional roles of phase resetting during walking
- A modular network for legged locomotion.
- Central pattern generators for bipedal locomotion
- Bistable Oscillations Arising from Synaptic Depression
- The Influence of Limit Cycle Topology on the Phase Resetting Curve
- On the Phase Reduction and Response Dynamics of Neural Oscillator Populations
- SYNCHRONY VERSUS SYMMETRY IN COUPLED CELLS
- Computation of the Phase Response Curve: A Direct Numerical Approach
- The geometry of biological time.
- Models of central pattern generators for quadruped locomotion. I: Primary gaits.
This page was built for publication: Existence and stability criteria for phase-locked modes in ring neural networks based on the spike time resetting curve method