Global dynamics for switching systems and their extensions by linear differential equations
type: Item
instance of: scholarly article
title: Global dynamics for switching systems and their extensions by linear differential equations
zbMATH Open document ID: 1380.34035
author: Zane Huttinga
author: Bree Cummins
author: Tomáš Gedeon
author: K. Mischaikow
published in: Physica D
publication date: 2018-02-22T00:00:00Z
full work available at URL: pmc5984053
Mathematics Subject Classification ID: 34A38
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 05C90
zbMATH DE Number: 6842432
zbMATH Keywords: switching systems
zbMATH Keywords: gene regulation
zbMATH Keywords: transcription/translation model
zbMATH Keywords: Morse graphs
describes a project that uses: DSGRN
MaRDI profile type: Publication
Wikidata QID: Q88985935
OpenAlex ID: W2770979730
cites work: Introduction to focus issue: quantitative approaches to genetic networks
cites work: Dynamical modeling and analysis of large cellular regulatory networks
cites work: The topology of the regulatory interactions predicts the expression pattern of the segment polarity genes in \textit{Drosophila melanogaster}
cites work: Robustness and fragility of Boolean models for genetic regulatory networks
cites work: Dynamics of actively regulated gene networks
cites work: Analysis of continuous-time switching networks
cites work: Numerical simulation of piecewise-linear models of gene regulatory networks using complementarity systems
cites work: Piecewise-linear models of genetic regulatory networks: equilibria and their stability
cites work: Stable oscillations in mathematical models of biological control systems
cites work: Geometric properties of a class of piecewise affine biological network models
cites work: Uncovering operational interactions in genetic networks using asynchronous Boolean dynamics
cites work: Explicit construction of chaotic attractors in Glass networks
cites work: Periodic solutions of gene networks with steep sigmoidal regulatory functions
cites work: Controlling a Class of Nonlinear Systems on Rectangles
cites work: Q4552472
cites work: A control problem for affine dynamical systems on a full-dimensional polytope.
cites work: Combinatorial Representation of Parameter Space for Switching Networks
cites work: Q4180600
cites work: Global dynamics for steep nonlinearities in two dimensions
cites work: A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems
cites work: Effect of model selection on prediction of periodic behavior in gene regulatory networks
cites work: A modelling framework for gene regulatory networks including transcription and translation
cites work: Dynamics of transcription-translation networks
cites work: Convergence properties of posttranslationally modified protein-protein switching networks with fast decay rates
cites work: The Poincaré-Bendixson theorem for monotone cyclic feedback systems
cites work: Structure of the global attractor of cyclic feedback systems
cites work: Cyclic feedback systems
DOI: 10.1016/J.PHYSD.2017.11.003
description: scientific article; zbMATH DE number 6842432