Published November 2009 | Version v1
Journal article Metadata-only

Factorization and Lie point symmetries of general Lienard-type equation in the complex plane

Creators

  • 1. Department of Mathematics and Statistics, Concordia University 1455 de Maisonneuve Boulevard West, Montreal, Quebec, H3G 1M8 (Canada)

Description

We present a variational approach to a general Lienard-type equation in order to linearize it and, as an example, the Van der Pol oscillator is discussed. The new equation which is almost linear is factorized. The point symmetries of the deformed equation are also discussed and the two-dimensional Lie algebraic generators are obtained.

Availability note (English)

Available from http://dx.doi.org/10.1088/0031-8949/80/05/055003

Additional details

Identifiers

DOI
10.1088/0031-8949/80/05/055003;

Publishing Information

Journal Title
Physica Scripta (Online)
Journal Volume
80
Journal Issue
5
Journal Page Range
[4 p.]
ISSN
1402-4896

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41050759
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
COMPLEX MANIFOLDS; EQUATIONS; FACTORIZATION; GROUP THEORY; LIE GROUPS; OSCILLATORS; SYMMETRY; TWO-DIMENSIONAL CALCULATIONS; VARIATIONAL METHODS
Descriptors DEC
CALCULATION METHODS; ELECTRONIC EQUIPMENT; EQUIPMENT; MATHEMATICAL MANIFOLDS; MATHEMATICS; SYMMETRY GROUPS