Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling
DOI10.1137/21M1431679zbMath1503.34099OpenAlexW4288439403MaRDI QIDQ5095757
Choongseok Park, Jonathan E. Rubin
Publication date: 10 August 2022
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1431679
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26)
Uses Software
Cites Work
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- Conditions for multi-functionality in a rhythm generating network inspired by turtle scratching
- Oscillations in a simple neuromechanical system: underlying mechanisms
- Stable oscillations in mathematical models of biological control systems
- Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks
- A modular network for legged locomotion.
- Dynamics of two mutually coupled slow inhibitory neurons
- Explicit maps to predict activation order in multiphase rhythms of a coupled cell network
- Structural principles for periodic orbits in Glass networks
- Multi-timescale systems and fast-slow analysis
- The roles of ascending sensory signals and top-down central control in the entrainment of a locomotor CPG
- Simulating, Analyzing, and Animating Dynamical Systems
- Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models
- Dynamics and bifurcations in multistable 3-cell neural networks
- Analysis of continuous-time switching networks
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