File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1007/s11431-010-0069-5
- Scopus: eid_2-s2.0-77950835777
- WOS: WOS:000276807400011
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method
| Title | Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Authors | |||||||||
| Keywords | Heteroclinic Orbit Homoclinic Orbit Lindstedt-Poincaré Method Nonlinear Autonomous Oscillator | ||||||||
| Issue Date | 2010 | ||||||||
| Citation | Science China Technological Sciences, 2010, v. 53 n. 3, p. 692-702 How to Cite? | ||||||||
| Abstract | The hyperbolic Lindstedt-Poincaré method is applied to determine the homoclinic and heteroclinic solutions of cubic strongly nonlinear oscillators of the form x + c1 x + c3 x3 = εf(μ,x, ẋ) . In the method, the hyperbolic functions are employed instead of the periodic functions in the Lindstedt-Poincaré procedure. Critical value of parameter μ under which there exists homoclinic or heteroclinic orbit can be determined by the perturbation procedure. Typical applications are studied in detail. To illustrate the accuracy of the present method, its predictions are compared with those of Runge-Kutta method. © 2010 Science in China Press and Springer-Verlag Berlin Heidelberg. | ||||||||
| Persistent Identifier | http://hdl.handle.net/10722/157064 | ||||||||
| ISSN | 2021 Impact Factor: 3.903 2020 SCImago Journal Rankings: 0.571 | ||||||||
| ISI Accession Number ID |
Funding Information: This work was supported by the National Natural Science Foundation of China (Grant Nos. 10672193, 10972240), Fu Lan Scholarship of Sun Yat-sen University, and the University of Hong Kong (CRGC grant). | ||||||||
| References |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chen, S | en_US |
| dc.contributor.author | Chen, Y | en_US |
| dc.contributor.author | Sze, KY | en_US |
| dc.date.accessioned | 2012-08-08T08:45:10Z | - |
| dc.date.available | 2012-08-08T08:45:10Z | - |
| dc.date.issued | 2010 | en_US |
| dc.identifier.citation | Science China Technological Sciences, 2010, v. 53 n. 3, p. 692-702 | en_US |
| dc.identifier.issn | 1674-7321 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/157064 | - |
| dc.description.abstract | The hyperbolic Lindstedt-Poincaré method is applied to determine the homoclinic and heteroclinic solutions of cubic strongly nonlinear oscillators of the form x + c1 x + c3 x3 = εf(μ,x, ẋ) . In the method, the hyperbolic functions are employed instead of the periodic functions in the Lindstedt-Poincaré procedure. Critical value of parameter μ under which there exists homoclinic or heteroclinic orbit can be determined by the perturbation procedure. Typical applications are studied in detail. To illustrate the accuracy of the present method, its predictions are compared with those of Runge-Kutta method. © 2010 Science in China Press and Springer-Verlag Berlin Heidelberg. | en_US |
| dc.language | eng | en_US |
| dc.relation.ispartof | Science China Technological Sciences | en_US |
| dc.subject | Heteroclinic Orbit | en_US |
| dc.subject | Homoclinic Orbit | en_US |
| dc.subject | Lindstedt-Poincaré Method | en_US |
| dc.subject | Nonlinear Autonomous Oscillator | en_US |
| dc.title | Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method | en_US |
| dc.type | Article | en_US |
| dc.identifier.email | Sze, KY:szeky@graduate.hku.hk | en_US |
| dc.identifier.authority | Sze, KY=rp00171 | en_US |
| dc.description.nature | link_to_subscribed_fulltext | en_US |
| dc.identifier.doi | 10.1007/s11431-010-0069-5 | en_US |
| dc.identifier.scopus | eid_2-s2.0-77950835777 | en_US |
| dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77950835777&selection=ref&src=s&origin=recordpage | en_US |
| dc.identifier.volume | 53 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.spage | 692 | en_US |
| dc.identifier.epage | 702 | en_US |
| dc.identifier.isi | WOS:000276807400011 | - |
| dc.identifier.scopusauthorid | Chen, S=13303161800 | en_US |
| dc.identifier.scopusauthorid | Chen, Y=25925765400 | en_US |
| dc.identifier.scopusauthorid | Sze, KY=7006735060 | en_US |
| dc.identifier.issnl | 1869-1900 | - |