Coexistence of Hopf-Born rotation and heteroclinic cycling in a time-delayed three-gene auto-regulated and mutually-repressed core genetic regulation network
type: Item
instance of: scholarly article
title: Coexistence of Hopf-Born rotation and heteroclinic cycling in a time-delayed three-gene auto-regulated and mutually-repressed core genetic regulation network
zbMATH Open document ID: 1470.92211
author: Lei Yang
author: Marc Turcotte
author: Weigang Sun
published in: Journal of Theoretical Biology
publication date: 2021-08-24T00:00:00Z
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 92C42
Mathematics Subject Classification ID: 34K18
zbMATH DE Number: 7384749
zbMATH Keywords: ODE
zbMATH Keywords: time-delays
zbMATH Keywords: bifurcation analysis
zbMATH Keywords: Hopf bifurcations
zbMATH Keywords: heteroclinic cycling
zbMATH Keywords: saddle snodes
MaRDI profile type: Publication
full work available at URL: j.jtbi.2021.110813
OpenAlex ID: W3171998456
cites work: Sequential memory: Binding dynamics
cites work: DYNAMIC RELATIONSHIP BETWEEN THE MUTUAL INTERFERENCE AND GESTATION DELAYS OF A HYBRID TRITROPHIC FOOD CHAIN MODEL
cites work: Criteria for robustness of heteroclinic cycles in neural microcircuits
cites work: A new method to find homoclinic and heteroclinic orbits
cites work: Homoclinic and heteroclinic orbits to a cycle in a tri-trophic food chain
cites work: Robust heteroclinic cycles in delay differential equations
cites work: Stability of genetic regulatory networks with time delay
cites work: Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
cites work: Codimension two bifurcation in a delayed neural network with unidirectional coupling
cites work: Stochastic gene expression with delay
cites work: Robust heteroclinic cycles
cites work: On the Use of Delay Equations in Engineering Applications
cites work: Delay chemical master equation: direct and closed-form solutions
cites work: A THREE-DIMENSIONAL NONLINEAR SYSTEM WITH A SINGLE HETEROCLINIC TRAJECTORY
cites work: Stability and bifurcation analysis in tri-neuron model with time delay
cites work: Stability and Bifurcation Analysis of Cyclic Genetic Regulatory Networks with Mixed Time Delays
cites work: A generalized model of the repressilator
cites work: Time-delayed models of gene regulatory networks
cites work: A trio of heteroclinic bifurcations arising from a model of spatially-extended Rock–Paper–Scissors
cites work: On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion
cites work: Numerical computation of connecting orbits in delay differential equations
cites work: Q3566306
cites work: Infinitely Many Heteroclinic Orbits of a Complex Lorenz System
cites work: Periodic orbits near heteroclinic cycles in a cyclic replicator system
cites work: Stability and Hopf bifurcation analysis in a delayed three-node circuit involving interlinked positive and negative feedback loops
cites work: Dynamic analysis of the time-delayed genetic regulatory network between two auto-regulated and mutually inhibitory genes
cites work: Stability and bifurcation of delay-coupled genetic regulatory networks with hub structure
DOI: 10.1016/J.JTBI.2021.110813
description: scientific article; zbMATH DE number 7384749