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On the approximation of the limit cycles function
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cherkas, Leonid Belorussian |
| Copyright Year | 2007 |
| Abstract | We consider planar vector fields depending on a real parameter. It is assumed that this vector field has a family of limit cycles which can be described by means of the limit cycles function l. We prove a relationship between the multiplicity of a limit cycle of this family and the order of a zero of the limit cycles function. Moreover, we present a procedure to approximate l(x), which is based on the Newton scheme applied to the Poincaré function and represents a continuation method. Finally, we demonstrate the effectiveness of the proposed procedure by means of a Liénard system. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://directory.umm.ac.id/Journals/Journal_of_mathematics/EJQTDE/p287.pdf |
| Alternate Webpage(s) | http://emis.maths.tcd.ie/EMIS/journals/EJQTDE/p287.pdf |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/EJQTDE/p287.pdf |
| Alternate Webpage(s) | http://www.emis.de/journals/EJQTDE/p287.pdf |
| Alternate Webpage(s) | http://www.maths.soton.ac.uk/EMIS/journals/EJQTDE/p287.pdf |
| Alternate Webpage(s) | http://www.maths.soton.ac.uk/EMIS/journals/EJQTDE/2007/200728.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Approximation algorithm Arabic numeral 0 Assumed Continuation Limit cycle Newton Newton's method Population Parameter multiplicity |
| Content Type | Text |
| Resource Type | Article |
