Research Catalog

Nonlinear dynamics and chaos

Title
Nonlinear dynamics and chaos / J.M.T. Thompson, H.B. Stewart.
Author
Thompson, J. M. T.
Publication
New York : Wiley, 2002.

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TextRequest in advance QA871 .T47 2002Off-site

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Additional Authors
Stewart, H. B. (H. Bruce)
Description
xxii, 437 pages : illustrations; 24 cm
Subject
  • Dynamics
  • Nonlinear theories
  • Chaotic behavior in systems
Bibliography (note)
  • Includes bibliographical references (p. 402-427) and index.
Contents
1. Introduction -- Pt. I. Basic Concepts of Nonlinear Dynamics. 2. An overview of nonlinear phenomena. 3. Point attractors in autonomous systems. 4. Limit cycles in autonomous systems. 5. Periodic attractors in driven oscillators. 6. Chaotic attractors in forced oscillators. 7. Stability and bifurcations of equilibria and cycles -- Pt. II. Iterated Maps as Dynamical Systems. 8. Stability and bifurcation of maps. 9. Chaotic behaviour of one- and two-dimensional maps -- Pt. III. Flows, Outstructures, and Chaos. 10. The geometry of recurrence. 11. The Lorenz system. 12. Rossler's band. 13. Geometry of bifurcations -- Pt. IV. Applications in the Physical Sciences. 14. Subharmonic resonances of an offshore structure. 15. Chaotic motions of an impacting system. 16. Escape from a potential well.
ISBN
  • 0471876453 (cloth : alk. paper)
  • 0471876844 (pbk. : alk. paper)
LCCN
2001045407
OCLC
  • ocm47282945
  • SCSB-4259752
Owning Institutions
Columbia University Libraries