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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
More from this funder
Name:
Engineering and Physical Sciences Research Council
Grant:
EP/K032208/1
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Name:
European Research Council
Grant:
328008
More from this funder
Name:
Leverhulme Trust
Funding agency for:
Erban, R
More from this funder
Name:
Royal Society
Funding agency for:
Erban, R
Publisher:
Springer Verlag
Journal:
Journal of Mathematical Chemistry More from this journal
Publication date:
2016-06-06
Acceptance date:
2016-06-14
DOI:
EISSN:
1572-8897
ISSN:
0259-9791
Keywords:
Pubs id:
pubs:572425
UUID:
uuid:8cfd39d8-e018-4fac-8835-c481937f2d7d
Local pid:
pubs:572425
Source identifiers:
572425
Deposit date:
2016-06-15

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