A simple method for constructing non-liouvillian first integrals of autonomous planar systems

Title:

A simple method for constructing non-liouvillian first integrals of autonomous planar systems

Creator:

Schulze-Halberg, Axel

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:48ee5e78-78f4-4fdd-b477-3ca1518a94d4
uuid:48ee5e78-78f4-4fdd-b477-3ca1518a94d4

Subject:

planar polynomial systems, Kukles systems, generalized Liénard systems, and non-liouvillian first integrals

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We show that a transformation method relating planar first-order differential systems to second order equations is an effective tool for finding non-liouvillian first integrals. We obtain explicit first integrals for a subclass of Kukles systems, including fourth and fifth order systems, and for generalized Liénard-type systems.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

987-999

Source:

Czechoslovak Mathematical Journal | 2006 Volume:56 | Number:3

Harvested from:

CDK

Metadata only:

false