Shift of bifurcation point due to noise induced parameter
The object of the paper is to see the effect of small stochastic parametric perturbation on a nonlinear interacting system exhibiting Hopf bifurcation. The method is based on the technique of Markov diffusion approximation.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117120000034X |
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| _version_ | 1849467855329820672 |
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| author | Sandip Banerjee Rakhi Bhattacharya C. G. Chakrabarti |
| author_facet | Sandip Banerjee Rakhi Bhattacharya C. G. Chakrabarti |
| author_sort | Sandip Banerjee |
| collection | DOAJ |
| description | The object of the paper is to see the effect of small stochastic
parametric perturbation on a nonlinear interacting system
exhibiting Hopf bifurcation. The method is based on the technique
of Markov diffusion approximation. |
| format | Article |
| id | doaj-art-e0ac8f650fc342a68eeefcd37217f3aa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e0ac8f650fc342a68eeefcd37217f3aa2025-08-20T03:26:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123643543910.1155/S016117120000034XShift of bifurcation point due to noise induced parameterSandip Banerjee0Rakhi Bhattacharya1C. G. Chakrabarti2Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Calcutta 700009, IndiaDepartment of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Calcutta 700009, IndiaDepartment of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Calcutta 700009, IndiaThe object of the paper is to see the effect of small stochastic parametric perturbation on a nonlinear interacting system exhibiting Hopf bifurcation. The method is based on the technique of Markov diffusion approximation.http://dx.doi.org/10.1155/S016117120000034XStochastic perturbationHopf bifurcation spectral densitylimit cycleMarkov process. |
| spellingShingle | Sandip Banerjee Rakhi Bhattacharya C. G. Chakrabarti Shift of bifurcation point due to noise induced parameter International Journal of Mathematics and Mathematical Sciences Stochastic perturbation Hopf bifurcation spectral density limit cycle Markov process. |
| title | Shift of bifurcation point due to noise induced parameter |
| title_full | Shift of bifurcation point due to noise induced parameter |
| title_fullStr | Shift of bifurcation point due to noise induced parameter |
| title_full_unstemmed | Shift of bifurcation point due to noise induced parameter |
| title_short | Shift of bifurcation point due to noise induced parameter |
| title_sort | shift of bifurcation point due to noise induced parameter |
| topic | Stochastic perturbation Hopf bifurcation spectral density limit cycle Markov process. |
| url | http://dx.doi.org/10.1155/S016117120000034X |
| work_keys_str_mv | AT sandipbanerjee shiftofbifurcationpointduetonoiseinducedparameter AT rakhibhattacharya shiftofbifurcationpointduetonoiseinducedparameter AT cgchakrabarti shiftofbifurcationpointduetonoiseinducedparameter |