Effective Fokker-Planck equation for birhythmic modified van der Pol oscillator
dc.contributor.author | Yamapi, R. | |
dc.contributor.author | Filatrella, G. | |
dc.contributor.author | Aziz-Alaoui, M. A. | |
dc.contributor.author | Cerdeira, Hilda A. [UNESP] | |
dc.contributor.institution | Univ Douala | |
dc.contributor.institution | Univ Salerno | |
dc.contributor.institution | Univ Sannio | |
dc.contributor.institution | Univ Havre | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2013-09-30T19:03:03Z | |
dc.date.accessioned | 2014-05-20T14:14:05Z | |
dc.date.available | 2013-09-30T19:03:03Z | |
dc.date.available | 2014-05-20T14:14:05Z | |
dc.date.issued | 2012-12-01 | |
dc.description.abstract | We present an explicit solution based on the phase-amplitude approximation of the Fokker-Planck equation associated with the Langevin equation of the birhythmic modified van der Pol system. The solution enables us to derive probability distributions analytically as well as the activation energies associated with switching between the coexisting different attractors that characterize the birhythmic system. Comparing analytical and numerical results we find good agreement when the frequencies of both attractors are equal, while the predictions of the analytic estimates deteriorate when the two frequencies depart. Under the effect of noise, the two states that characterize the birhythmic system can merge, inasmuch as the parameter plane of the birhythmic solutions is found to shrink when the noise intensity increases. The solution of the Fokker-Planck equation shows that in the birhythmic region, the two attractors are characterized by very different probabilities of finding the system in such a state. The probability becomes comparable only for a narrow range of the control parameters, thus the two limit cycles have properties in close analogy with the thermodynamic phases. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4766678] | en |
dc.description.affiliation | Univ Douala, Fac Sci, Dept Phys, Fundamental Phys Lab, Douala, Cameroon | |
dc.description.affiliation | Univ Salerno, Dept Phys, Salerno Unit CNSIM, I-84081 Fisciano, Italy | |
dc.description.affiliation | Univ Sannio, Dept Sci Biol Geol & Environm Studies, I-82100 Benevento, Italy | |
dc.description.affiliation | Univ Sannio, Salerno Unit CNSIM, I-82100 Benevento, Italy | |
dc.description.affiliation | Univ Havre, Appl Math Lab, Le Havre, France | |
dc.description.affiliation | Univ Estadual Paulista, Inst Fis Teor, BR-01140070 São Paulo, Brazil | |
dc.description.affiliationUnesp | Univ Estadual Paulista, Inst Fis Teor, BR-01140070 São Paulo, Brazil | |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description.sponsorship | ICTP (International Centre for Theoretical Physics) | |
dc.description.sponsorshipId | CNPq: 490265/2010-3 | |
dc.format.extent | 9 | |
dc.identifier | http://dx.doi.org/10.1063/1.4766678 | |
dc.identifier.citation | Chaos. Melville: Amer Inst Physics, v. 22, n. 4, p. 9, 2012. | |
dc.identifier.doi | 10.1063/1.4766678 | |
dc.identifier.file | WOS000312831600014.pdf | |
dc.identifier.issn | 1054-1500 | |
dc.identifier.uri | http://hdl.handle.net/11449/24675 | |
dc.identifier.wos | WOS:000312831600014 | |
dc.language.iso | eng | |
dc.publisher | American Institute of Physics (AIP) | |
dc.relation.ispartof | Chaos | |
dc.relation.ispartofjcr | 2.415 | |
dc.relation.ispartofsjr | 0,716 | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Web of Science | |
dc.title | Effective Fokker-Planck equation for birhythmic modified van der Pol oscillator | en |
dc.type | Artigo | |
dcterms.license | http://www.aip.org/pubservs/web_posting_guidelines.html | |
dcterms.rightsHolder | Amer Inst Physics | |
unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulo | pt |
Arquivos
Pacote Original
1 - 1 de 1
Carregando...
- Nome:
- WOS000312831600014.pdf
- Tamanho:
- 1.36 MB
- Formato:
- Adobe Portable Document Format
Licença do Pacote
1 - 2 de 2
Nenhuma Miniatura disponível
- Nome:
- license.txt
- Tamanho:
- 1.71 KB
- Formato:
- Item-specific license agreed upon to submission
- Descrição:
Nenhuma Miniatura disponível
- Nome:
- license.txt
- Tamanho:
- 1.71 KB
- Formato:
- Item-specific license agreed upon to submission
- Descrição: