ON THE RELATION BETWEEN ORGANIZATIONS AND LIMIT SETS IN CHEMICAL REACTION SYSTEMS

DOI10.1142/S0219525911002895zbMath1211.92072OpenAlexW2122902581MaRDI QIDQ3169227

Peter Dittrich, Stephan Peter

Publication date: 28 April 2011

Published in: Advances in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219525911002895

zbMATH Keywords

limit setslong-term behaviorreaction networkschemical organization theoryconstructive dynamical systems

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) General theory for ordinary differential equations (34A99) Systems biology, networks (92C42)

Related Items (5)

The complexity-stability debate, chemical organization theory, and the identification of non-classical structures in ecology ⋮ Persistent Subspaces of Reaction-Based Dynamical Systems ⋮ Reaction networks and evolutionary game theory ⋮ Reachability, persistence, and constructive chemical reaction networks. I: Reachability approach to the persistence of chemical reaction networks ⋮ Linking Network Structure and Dynamics to Describe the Set of Persistent Species in Reaction Diffusion Systems

Cites Work

• Continuous model for the rock-scissors-paper game between bacteriocin producing bacteria
• Robust heteroclinic cycles
• A family of sparse polynomial systems arising in chemical reaction systems
• Mathematical biology. Vol. 1: An introduction.
• Heteroclinic networks in coupled cell systems
• Chemical organisation theory
• Heteroclinic networks on the tetrahedron
• Global stability of complex balanced mechanisms

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