Multi-Stability, Limit Cycles, and Period-Doubling Bifurcation with Reaction Systems

Journal article (2017)

Authors

Sepinoud Azimi Åbo Akademi University, Turku Centre for Computer Science
Charmi Panchal Turku Centre for Computer Science, Åbo Akademi University
Andrzej Mizera University of Luxembourg
Ion Petre Turku Centre for Computer Science, Åbo Akademi University
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Limit cycle Steady state Bistability Period-doubling bifurcation Qualitative models Reaction systems
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Published Date

2017

Language

English

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Abstract

Quantitative models may exhibit sophisticated behaviour that includes having multiple steady states, bistability, limit cycles, and period-doubling bifurcation. Such behaviour is typically driven by the numerical dynamics of the model, where the values of various numerical parameters play the crucial role. We introduce in this paper natural correspondents of these concepts to reaction systems modelling, a framework based on elementary set theoretical, forbidding/enforcing-based mechanisms. We construct several reaction systems models exhibiting these properties.