Chemical reaction systems with a homoclinic bifurcation: an inverse problem

DOI10.1007/s10910-016-0656-1zbMath1372.92127arXiv1510.07205OpenAlexW2963877886WikidataQ59474038 ScholiaQ59474038MaRDI QIDQ2399172

Tomislav Plesa, Radek Erban, Tomáv s Vejchodský

Publication date: 22 August 2017

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07205

zbMATH Keywords

inverse problemreaction kineticsbifurcationsoscillationssynthetic biologysystems biologyquasi-steady state assumptionnonnegative dynamical systems

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Inverse problems involving ordinary differential equations (34A55)

Related Items (5)

Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability ⋮ Stochastic approximations of higher-molecular by bi-molecular reactions ⋮ Integral feedback in synthetic biology: negative-equilibrium catastrophe ⋮ Chemical systems with limit cycles ⋮ Identifiability of stochastically modelled reaction networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Engineering model reduction and entropy-based Lyapunov functions in chemical reaction kinetics
• Smallest chemical reaction system with Hopf bifurcation
• Comment on ``Identifiability of chemical reaction networks by G. Craciun and C. Pantea
• Identifiability of chemical reaction networks
• Orthogonal transforms of the Lorenz- and Rössler-equation
• Constructing dynamical systems having homoclinic bifurcation points of codimension two
• On the origin of Turing instability
• No limit cycle in two species second order kinetics.
• Stochastic chemical kinetics. Theory and (mostly) systems biological applications
• Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model
• Universal formats for nonlinear ordinary differential systems
• Modeling and analysis of mass-action kinetics
• Chemical systems consisting only of elementary steps -- a paradigma for nonlinear behavior

This page was built for publication: Chemical reaction systems with a homoclinic bifurcation: an inverse problem