Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators
- Author
- CHICONE, C
Univ. Missouri, dep. mathematics, Columbia MO 65211, United States - Source
Journal of differential equations (Print). 1994, Vol 112, Num 2, pp 407-447 ; ref : 25 ref
- CODEN
- JDEQAK
- ISSN
- 0022-0396
- Scientific domain
- Mathematics
- Publisher
- Academic Press, San Diego, CA
- Publication country
- United States
- Document type
- Article
- Language
- English
- Keyword (fr)
- Bifurcation Cycle limite Oscillateur Van der Pol Oscillateur couplé Perturbation Solution périodique Système autonome Intégrale Melsihov Réduction Lyapunov Schmidt Variété invariante
- Keyword (en)
- Bifurcation Limit cycle Van der Pol oscillator Coupled oscillator Perturbation Periodic solution Autonomous system
- Keyword (es)
- Bifurcación Ciclo límite Oscilador Van der Pol Oscilador acoplamiento Perturbación Solución periódica Sistema autónomo
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E07 Ordinary differential equations
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 3409336
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Access to the document
Install on your browser
DOI
10.1006/jdeq.1994.1110 
https://dx.doi.org/10.1006/jdeq.1994.1110
"O:13:\"PanistOpenUrl\":36:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000idc\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:22:\"10.1006\/jdeq.1994.1110\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:110:\"Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators\";s:9:\"\u0000*\u0000jtitle\";s:41:\"Journal of differential equations (Print)\";s:9:\"\u0000*\u0000stitle\";s:23:\"J. differ. equ. (Print)\";s:7:\"\u0000*\u0000date\";s:4:\"1994\";s:9:\"\u0000*\u0000volume\";s:3:\"112\";s:8:\"\u0000*\u0000issue\";s:1:\"2\";s:8:\"\u0000*\u0000spage\";s:3:\"407\";s:8:\"\u0000*\u0000epage\";s:3:\"447\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0022-0396\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:7:\"CHICONE\";s:10:\"\u0000*\u0000aufirst\";s:1:\"C\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:0:{}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JDEQAK\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:110:\"Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators\";s:8:\"\u0000*\u0000place\";s:13:\"San Diego, CA\";s:6:\"\u0000*\u0000pub\";s:14:\"Academic Press\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:0:\"\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Panist access
"O:12:\"IstexOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:22:\"10.1006\/jdeq.1994.1110\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:110:\"Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators\";s:9:\"\u0000*\u0000jtitle\";s:41:\"Journal of differential equations (Print)\";s:9:\"\u0000*\u0000stitle\";s:23:\"J. differ. equ. (Print)\";s:7:\"\u0000*\u0000date\";s:4:\"1994\";s:9:\"\u0000*\u0000volume\";s:3:\"112\";s:8:\"\u0000*\u0000issue\";s:1:\"2\";s:8:\"\u0000*\u0000spage\";s:3:\"407\";s:8:\"\u0000*\u0000epage\";s:3:\"447\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0022-0396\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:7:\"CHICONE\";s:10:\"\u0000*\u0000aufirst\";s:1:\"C\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:0:{}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JDEQAK\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:110:\"Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators\";s:8:\"\u0000*\u0000place\";s:13:\"San Diego, CA\";s:6:\"\u0000*\u0000pub\";s:14:\"Academic Press\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:0:\"\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Istex access
"O:16:\"UnpaywallOpenUrl\":35:{s:8:\"\u0000*\u0000email\";s:27:\"assistance-portail@inist.fr\";s:6:\"\u0000*\u0000fmt\";N;s:6:\"\u0000*\u0000doi\";s:22:\"10.1006\/jdeq.1994.1110\";s:6:\"\u0000*\u0000pii\";N;s:7:\"\u0000*\u0000pmid\";N;s:9:\"\u0000*\u0000atitle\";N;s:9:\"\u0000*\u0000jtitle\";N;s:9:\"\u0000*\u0000stitle\";N;s:7:\"\u0000*\u0000date\";N;s:9:\"\u0000*\u0000volume\";N;s:8:\"\u0000*\u0000issue\";N;s:8:\"\u0000*\u0000spage\";N;s:8:\"\u0000*\u0000epage\";N;s:8:\"\u0000*\u0000pages\";N;s:7:\"\u0000*\u0000issn\";N;s:8:\"\u0000*\u0000eissn\";N;s:9:\"\u0000*\u0000aulast\";N;s:10:\"\u0000*\u0000aufirst\";N;s:9:\"\u0000*\u0000auinit\";N;s:10:\"\u0000*\u0000auinitm\";N;s:5:\"\u0000*\u0000au\";N;s:9:\"\u0000*\u0000aucorp\";N;s:7:\"\u0000*\u0000isbn\";N;s:8:\"\u0000*\u0000coden\";N;s:8:\"\u0000*\u0000genre\";N;s:7:\"\u0000*\u0000part\";N;s:9:\"\u0000*\u0000btitle\";N;s:8:\"\u0000*\u0000title\";N;s:8:\"\u0000*\u0000place\";N;s:6:\"\u0000*\u0000pub\";N;s:10:\"\u0000*\u0000edition\";N;s:9:\"\u0000*\u0000tpages\";N;s:9:\"\u0000*\u0000series\";N;s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";N;}"
Unpaywall access
"O:16:\"EuropePMCOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:22:\"10.1006\/jdeq.1994.1110\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:110:\"Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators\";s:9:\"\u0000*\u0000jtitle\";s:41:\"Journal of differential equations (Print)\";s:9:\"\u0000*\u0000stitle\";s:23:\"J. differ. equ. (Print)\";s:7:\"\u0000*\u0000date\";s:4:\"1994\";s:9:\"\u0000*\u0000volume\";s:3:\"112\";s:8:\"\u0000*\u0000issue\";s:1:\"2\";s:8:\"\u0000*\u0000spage\";s:3:\"407\";s:8:\"\u0000*\u0000epage\";s:3:\"447\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0022-0396\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:7:\"CHICONE\";s:10:\"\u0000*\u0000aufirst\";s:1:\"C\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:0:{}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JDEQAK\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:110:\"Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators\";s:8:\"\u0000*\u0000place\";s:13:\"San Diego, CA\";s:6:\"\u0000*\u0000pub\";s:14:\"Academic Press\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:0:\"\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Europe PubMed Central access
"O:11:\"BaseOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:22:\"10.1006\/jdeq.1994.1110\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:110:\"Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators\";s:9:\"\u0000*\u0000jtitle\";s:41:\"Journal of differential equations (Print)\";s:9:\"\u0000*\u0000stitle\";s:23:\"J. differ. equ. (Print)\";s:7:\"\u0000*\u0000date\";s:4:\"1994\";s:9:\"\u0000*\u0000volume\";s:3:\"112\";s:8:\"\u0000*\u0000issue\";s:1:\"2\";s:8:\"\u0000*\u0000spage\";s:3:\"407\";s:8:\"\u0000*\u0000epage\";s:3:\"447\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0022-0396\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:7:\"CHICONE\";s:10:\"\u0000*\u0000aufirst\";s:1:\"C\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:0:{}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JDEQAK\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:110:\"Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators\";s:8:\"\u0000*\u0000place\";s:13:\"San Diego, CA\";s:6:\"\u0000*\u0000pub\";s:14:\"Academic Press\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:0:\"\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Base Search access
"O:12:\"ArXivOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:22:\"10.1006\/jdeq.1994.1110\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:110:\"Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators\";s:9:\"\u0000*\u0000jtitle\";s:41:\"Journal of differential equations (Print)\";s:9:\"\u0000*\u0000stitle\";s:23:\"J. differ. equ. (Print)\";s:7:\"\u0000*\u0000date\";s:4:\"1994\";s:9:\"\u0000*\u0000volume\";s:3:\"112\";s:8:\"\u0000*\u0000issue\";s:1:\"2\";s:8:\"\u0000*\u0000spage\";s:3:\"407\";s:8:\"\u0000*\u0000epage\";s:3:\"447\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0022-0396\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:7:\"CHICONE\";s:10:\"\u0000*\u0000aufirst\";s:1:\"C\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:0:{}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JDEQAK\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:110:\"Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators\";s:8:\"\u0000*\u0000place\";s:13:\"San Diego, CA\";s:6:\"\u0000*\u0000pub\";s:14:\"Academic Press\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:0:\"\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
arXiv access
