Published January 1993 | Version v1
Journal article Metadata-only

Controlling Hamiltonian chaos

Creators

  • 1. Department of Biomedical Engineering, The Johns Hopkins University School of Medicine, Baltimore, Maryland 21205 (United States)
  • 2. Laboratory for Plasma Research, University of Maryland, College Park, Maryland 20742 (United States)
  • 3. Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431 (United States)
  • 4. Center for Complex Systems, Florida Atlantic University, Boca Raton, Florida 33431 (United States)
  • 5. Department of Mathematics, University of Maryland, College Park, Maryland 20742 (United States)
  • 6. Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742 (United States)

Description

The method for stabilizing an unstable periodic orbit in chaotic dynamical systems originally formulated by Ott, Grebogi, and Yorke (OGY) is not directly applicable to chaotic Hamiltonian systems. The reason is that an unstable periodic orbit in such systems often exhibits complex-conjugate eigenvalues at one or more of its orbit points. In this paper we extend the OGY stabilization method to control Hamiltonian chaos by incorporating the notion of stable and unstable directions at each periodic point. We also present an algorithm to calculate the stable and unstable directions. Other issues specific to the control of Hamiltonian chaos are also discussed

Additional details

Publishing Information

Journal Title
Physical Review. E, Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics
Journal Volume
47
Journal Issue
1
Journal Page Range
p. 86-92.
ISSN
1063-651X
CODEN
PLEEE8

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
24039565
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGORITHMS; CONTROL; DYNAMICS; EIGENVALUES; HAMILTONIANS; NONLINEAR PROBLEMS; STABILITY
Descriptors DEC
MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS