Qualitative and quantitative stability analysis of penta-rhythmic circuits

DOI10.1088/0951-7715/29/12/3647zbMath1369.37090arXiv1509.04514OpenAlexW2253879950MaRDI QIDQ2958851

Justus T. C. Schwabedal, Drake E. Knapper, Andrej L. Shil'nikov

Publication date: 3 February 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04514

zbMATH Keywords

bifurcationreturn maprelaxation oscillatorcellular circuitphase reseting curvepolyrhythmicity

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Numerical nonlinear stabilities in dynamical systems (65P40) Relaxation oscillations for ordinary differential equations (34C26) Systems biology, networks (92C42)

Related Items (5)

Numerical detection of patterns in CPGs: gait patterns in insect movement ⋮ Computational exposition of multistable rhythms in 4-cell neural circuits ⋮ Dynamics and bifurcations in multistable 3-cell neural networks ⋮ Predicting the Existence and Stability of Phase-Locked Mode in Neural Networks Using Generalized Phase-Resetting Curve ⋮ Poincaré return maps in neural dynamics: three examples

Cites Work

• Mathematical foundations of neuroscience
• Bursting
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Qualitative and quantitative stability analysis of penta-rhythmic circuits