Phase-based reduced order models for parabolic and elliptic bursting neurons

Neural biology (92C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Periodic orbits of vector fields and flows (37C27) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Cooperation of intrinsic bursting and calcium oscillations underlying activity patterns of model pre-Bötzinger complex neurons
Chemical oscillations, waves, and turbulence
Mathematical foundations of neuroscience
Reduction of conductance-based neuron models
Isochrons and phaseless sets
On contraction analysis for non-linear systems
Topological and phenomenological classification of bursting oscillations
Weakly connected neural networks
Phase reduction and phase-based optimal control for biological systems: a tutorial
Multi-timescale systems and fast-slow analysis
On partial contraction analysis for coupled nonlinear oscillators
Synchronization of elliptic bursters
Global Isochrons and Phase Sensitivity of Bursting Neurons
Modeling of spiking-bursting neural behavior using two-dimensional map
Complex bursting dynamics in an embryonic respiratory neuron model
Dissecting the Phase Response of a Model Bursting Neuron
Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
On the Phase Reduction and Response Dynamics of Neural Oscillator Populations
Shape versus Timing: Linear Responses of a Limit Cycle with Hard Boundaries under Instantaneous and Static Perturbation
An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs
NEURAL EXCITABILITY, SPIKING AND BURSTING
Handbook of stochastic methods for physics, chemistry and the natural sciences.
Averaging methods in nonlinear dynamical systems
The geometry of biological time.
A Reduced Order Modeling Framework for Strongly Perturbed Nonlinear Dynamical Systems Near Arbitrary Trajectory Sets

This page was built for publication: Phase-based reduced order models for parabolic and elliptic bursting neurons

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6667522)