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Chemical reaction systems with a homoclinic bifurcation: an inverse problem
- 1.0463647 - MÚ 2017 RIV NL eng J - Journal Article
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
EU Projects: European Commission(XE) 328008 - STOCHDETBIOMODEL
Institutional support: RVO:67985840
Keywords : nonnegative dynamical systems * bifurcations * oscillations
Subject RIV: BA - General Mathematics
Impact factor: 1.308, year: 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.
Permanent Link: http://hdl.handle.net/11104/0262772
File Download Size Commentary Version Access Vejchodsky1.pdf 1 1 MB Publisher’s postprint require
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