Published April 2007 | Version v1
Journal article Metadata-only

Transition to chaos in externally modulated hydrodynamic systems

Creators

  • 1. Department of Physics, Faculty of Science, University of Douala, P O Box 24 157 Douala (Cameroon)
  • 2. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P O Box 812 Yaounde (Cameroon)

Description

An amplitude equation associated with externally modulated hydrodynamic systems is considered. A simple physical model to evaluate analytically the Melnikov function is proposed. The onset of chaos is studied numerically through a computation of the largest Lyapunov exponent, a construction of the bifurcation diagram, and an analysis of the phase space trajectories. Theory predicts the regions of chaotic behaviour of the system in good agreement with computer calculations

Additional details

Identifiers

DOI
10.1088/0031-8949/75/4/017;
PII
S0031-8949(07)19638-17;

Publishing Information

Journal Title
Physica Scripta (Online)
Journal Volume
75
Journal Issue
4
Journal Page Range
p. 467-473
ISSN
1402-4896

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
38080698
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BIFURCATION; CHAOS THEORY; COMPUTER CALCULATIONS; DIAGRAMS; EQUATIONS; FUNCTIONS; LYAPUNOV METHOD; PHASE SPACE
Descriptors DEC
CALCULATION METHODS; INFORMATION; MATHEMATICAL SPACE; MATHEMATICS; SPACE