Published June 5, 2009 | Version v1
Journal article Metadata-only

Linearizability conditions for Lotka-Volterra planar complex cubic systems

Creators

  • 1. Departament de Matematica, Universitat de Lleida, Av. Jaume II, 69, 25001 Lleida (Spain)
  • 2. Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000 Maribor (Slovenia)

Description

In this paper, we investigate the linearizability problem for the two-dimensional planar complex system x-dot=x(1-a10x-a01y-a20x2-a11xy-a02y2), y-dot=(1-b10x-b01y-b20x2-b11xy-b02y2). The necessary and sufficient conditions for the linearizability of this system are found. From them the conditions for isochronicity of the corresponding real system can be derived

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/42/22/225206

Additional details

Identifiers

DOI
10.1088/1751-8113/42/22/225206;
PII
S1751-8113(09)04685-X;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
42
Journal Issue
22
Journal Page Range
[15 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40074350
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMPLEX MANIFOLDS; MATHEMATICAL SOLUTIONS; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
MATHEMATICAL MANIFOLDS