Published May 2008 | Version v1
Journal article Metadata-only

Bifurcation analysis and control of periodic solutions changing into invariant tori in Langford system

Creators

  • 1. College of Mechanics and Aerospace, Hunan University, Changsha 410082 (China)
  • 2. School of Geoscience and Environmental Engineering, Central South University, Changsha 410083 (China)

Description

Bifurcation characteristics of the Langford system in a general form are systematically analysed, and nonlinear controls of periodic solutions changing into invariant tori in this system are achieved. Analytical relationship between control gain and bifurcation parameter is obtained. Bifurcation diagrams are drawn, showing the results of control for secondary Hopf bifurcation and sequences of bifurcations route to chaos. Numerical simulations of quasi-periodic tori validate analytic predictions

Availability note (English)

Available from http://dx.doi.org/10.1088/1674-1056/17/5/026

Additional details

Identifiers

DOI
10.1088/1674-1056/17/5/026;

Publishing Information

Journal Title
Chinese Physics. B
Journal Volume
17
Journal Issue
5
Journal Page Range
p. 1691-1697
ISSN
1674-1056

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44125140
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ANALYTICAL SOLUTION; BIFURCATION; CHAOS THEORY; COMPUTERIZED SIMULATION; CONTROL; DIAGRAMS; FORECASTING; GAIN; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; PERIODICITY; TORI
Descriptors DEC
AMPLIFICATION; INFORMATION; MATHEMATICAL SOLUTIONS; MATHEMATICS; SIMULATION; VARIATIONS