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Chemical reaction systems with a homoclinic bifurcation: an inverse problem

Abstract:
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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s10910-016-0656-1

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
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Funding agency for:
Erban, R
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Funding agency for:
Erban, R
Publisher:
Springer Verlag Publisher's website
Journal:
Journal of Mathematical Chemistry Journal website
Publication date:
2016-06-06
Acceptance date:
2016-06-14
DOI:
EISSN:
1572-8897
ISSN:
0259-9791
Source identifiers:
572425
Keywords:
Pubs id:
pubs:572425
UUID:
uuid:8cfd39d8-e018-4fac-8835-c481937f2d7d
Local pid:
pubs:572425
Deposit date:
2016-06-15

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