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

Sepinoud Azimi, Charmi Panchal, Andrzej Mizera, Ion Petre, Multi-Stability, Limit Cycles, and Period-Doubling Bifurcation with Reaction Systems. International Journal of Foundations of Computer Science 28(8), 1007–1020, 2017.

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.

BibTeX entry:

@ARTICLE{jAzPaMiPe17a,
  title = {Multi-Stability, Limit Cycles, and Period-Doubling Bifurcation with Reaction Systems},
  author = {Azimi, Sepinoud and Panchal, Charmi and Mizera, Andrzej and Petre, Ion},
  journal = {International Journal of Foundations of Computer Science},
  volume = {28},
  number = {8},
  pages = {1007–1020},
  year = {2017},
  keywords = {Qualitative models; bistability; limit cycle; period-doubling bifurcation; steady state; reaction systems},
  ISSN = {0129-0541},
}

Belongs to TUCS Research Unit(s): Computational Biomodeling Laboratory (Combio Lab)

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