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Chemical reaction systems with a homoclinic bifurcation: an inverse problem
- 1.0463647 - MÚ 2017 RIV NL eng J - Článek v odborném periodiku
Plesa, T. - Vejchodský, Tomáš - Erban, R.
Chemical reaction systems with a homoclinic bifurcation: an inverse problem.
Journal of Mathematical Chemistry. Roč. 54, č. 10 (2016), s. 1884-1915. ISSN 0259-9791. E-ISSN 1572-8897
GRANT EU: European Commission(XE) 328008 - STOCHDETBIOMODEL
Institucionální podpora: RVO:67985840
Klíčová slova: nonnegative dynamical systems * bifurcations * oscillations
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.308, rok: 2016
http://link.springer.com/article/10.1007%2Fs10910-016-0656-1
An inverse problem framework for constructing reaction systems with prescribed properties is presented. Kinetic transformations are defined and analysed as a part of the framework, allowing an arbitrary polynomial ordinary differential equation to be mapped to the one that can be represented as a reaction network. The framework is used for construction of specific two- and three-dimensional bistable reaction systems undergoing a supercritical homoclinic bifurcation, and the topology of their phase spaces is discussed.
Trvalý link: http://hdl.handle.net/11104/0262772
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