Journal article
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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(Preview, Version of record, pdf, 1017.9KB, Terms of use)
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- Publisher copy:
- 10.1007/s10910-016-0656-1
Authors
- Publisher:
- Springer Verlag
- Journal:
- Journal of Mathematical Chemistry More from this journal
- Publication date:
- 2016-06-06
- Acceptance date:
- 2016-06-14
- DOI:
- EISSN:
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1572-8897
- ISSN:
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0259-9791
- Keywords:
- Pubs id:
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pubs:572425
- UUID:
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uuid:8cfd39d8-e018-4fac-8835-c481937f2d7d
- Local pid:
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pubs:572425
- Source identifiers:
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572425
- Deposit date:
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2016-06-15
- ARK identifier:
Terms of use
- Copyright holder:
- Plesa et al
- Copyright date:
- 2016
- Notes:
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© 2016 The Author(s). This article is published with open access at Springerlink.com. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution,
and reproduction in any medium, provided you give appropriate credit to the original author(s) and the
source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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