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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. TUCS Technical Reports 1167, TUCS, 2016.

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 demonstrate
in this paper that such behaviour may also emerge in elementary set theoretical
forbidding/enforcing-based models, rather than quantitative models, through the
interplay of the interactions between the various components of the model. We
demonstrate this for the first time using reaction systems as our modelling framework.

Files:

Abstract in PDF-format

Full publication in PDF-format

BibTeX entry:

@TECHREPORT{tAzPaMiPe16a,
  title = {Multi-Stability, Limit Cycles, and Period-Doubling Bifurcation with Reaction Systems},
  author = {Azimi, Sepinoud and Panchal, Charmi and Mizera, Andrzej and Petre, Ion},
  number = {1167},
  series = {TUCS Technical Reports},
  publisher = {TUCS},
  year = {2016},
}

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

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