Azimi, S., Panchal, C., Mizera, A., & Petre, I. (2017). Multi-Stability, Limit Cycles, and Period-Doubling Bifurcation with Reaction Systems. International Journal of Foundations of Computer Science, 28(08), 1007-1020.
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 file
@article{azimi2017multi,
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={08},
pages={1007--1020},
year={2017},
publisher={World Scientific}
}
Azimi, S., Panchal, C., Mizera, A., & Petre, I. (2017). Multi-Stability, Limit Cycles, and Period-Doubling Bifurcation with Reaction Systems. International Journal of Foundations of Computer Science, 28(08), 1007-1020.
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.
Link to the online copy
Bibtex file @article{azimi2017multi, 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={08}, pages={1007--1020}, year={2017}, publisher={World Scientific} }