Limit cycle analysis of a class of hybrid gene regulatory networks

DOI10.1007/978-3-031-15034-0_11zbMath1505.92081OpenAlexW4283326398MaRDI QIDQ2112156

Honglu Sun, Morgan Magnin, Maxime Folschette

Publication date: 18 January 2023

Full work available at URL: https://doi.org/10.1007/978-3-031-15034-0_11

zbMATH Keywords

limit cyclehybrid modelinggene regulatory networksPoincaré maptransition matrixcelerity

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Systems biology, networks (92C42)

Related Items (1)

Condition for periodic attractor in 4-dimensional repressilators

Cites Work

• Low dimensional hybrid systems -- decidable, undecidable, don't know
• Exact control of genetic networks in a qualitative framework: the bistable switch example
• Reachability analysis of dynamical systems having piecewise-constant derivatives
• Hybrid models of genetic networks: mathematical challenges and biological relevance
• Analysis and generic properties of gene regulatory networks with graded response functions
• Chaos in high-dimensional neural and gene networks
• Design of an explicit expression of the Poincaré map for the passive dynamic walking of the compass-gait biped model
• A Poincaré-Bendixson theorem for hybrid systems
• A Poincaré-Bendixson theorem for hybrid dynamical systems on directed graphs
• Computation and stability of limit cycles in hybrid systems
• Hierarchy of models: From qualitative to quantitative analysis of circadian rhythms in cyanobacteria
• Verification of Hybrid Systems
• A class of piecewise linear differential equations arising in biological models
• Topology-induced dynamics in a network of synthetic oscillators with piecewise affine approximation
• Analysis of continuous-time switching networks
• Unnamed Item

This page was built for publication: Limit cycle analysis of a class of hybrid gene regulatory networks