A nonlinear two-species oscillatory system: bifurcation and stability analysis
The present paper dealing with the nonlinear bifurcation analysis of two-species oscillatory system consists of three parts. The first part deals with Hopf-bifurcation and limit cycle analysis of the homogeneous system. The second consists of travelling wave train solution and its linear stability a...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203201174 |
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| author | Malay Bandyopadhyay Rakhi Bhattacharya C. G. Chakrabarti |
| author_facet | Malay Bandyopadhyay Rakhi Bhattacharya C. G. Chakrabarti |
| author_sort | Malay Bandyopadhyay |
| collection | DOAJ |
| description | The present paper dealing with the nonlinear bifurcation analysis
of two-species oscillatory system consists of three parts. The
first part deals with Hopf-bifurcation and limit cycle analysis of
the homogeneous system. The second consists of travelling wave
train solution and its linear stability analysis of the system in
presence of diffusion. The last deals with an oscillatory
chemical system as an illustrative example. |
| format | Article |
| id | doaj-art-e1c8f43ac19445ff997f174553493aad |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e1c8f43ac19445ff997f174553493aad2025-08-20T02:21:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003311981199110.1155/S0161171203201174A nonlinear two-species oscillatory system: bifurcation and stability analysisMalay Bandyopadhyay0Rakhi Bhattacharya1C. G. Chakrabarti2Department of Applied Mathematics, University of Calcutta, Kolkatta 700 009, IndiaDepartment of Applied Mathematics, University of Calcutta, Kolkatta 700 009, IndiaDepartment of Applied Mathematics, University of Calcutta, Kolkatta 700 009, IndiaThe present paper dealing with the nonlinear bifurcation analysis of two-species oscillatory system consists of three parts. The first part deals with Hopf-bifurcation and limit cycle analysis of the homogeneous system. The second consists of travelling wave train solution and its linear stability analysis of the system in presence of diffusion. The last deals with an oscillatory chemical system as an illustrative example.http://dx.doi.org/10.1155/S0161171203201174 |
| spellingShingle | Malay Bandyopadhyay Rakhi Bhattacharya C. G. Chakrabarti A nonlinear two-species oscillatory system: bifurcation and stability analysis International Journal of Mathematics and Mathematical Sciences |
| title | A nonlinear two-species oscillatory system: bifurcation and stability analysis |
| title_full | A nonlinear two-species oscillatory system: bifurcation and stability analysis |
| title_fullStr | A nonlinear two-species oscillatory system: bifurcation and stability analysis |
| title_full_unstemmed | A nonlinear two-species oscillatory system: bifurcation and stability analysis |
| title_short | A nonlinear two-species oscillatory system: bifurcation and stability analysis |
| title_sort | nonlinear two species oscillatory system bifurcation and stability analysis |
| url | http://dx.doi.org/10.1155/S0161171203201174 |
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