The Resource Chaos and nonlinear dynamics : an introduction for scientists and engineers, Robert C. Hilborn

Chaos and nonlinear dynamics : an introduction for scientists and engineers, Robert C. Hilborn

Label
Chaos and nonlinear dynamics : an introduction for scientists and engineers
Title
Chaos and nonlinear dynamics
Title remainder
an introduction for scientists and engineers
Statement of responsibility
Robert C. Hilborn
Creator
Subject
Language
eng
Summary
  • This is the only book that introduces the full range of activity in the rapidly growing field of nonlinear dynamics to students, scientists, and engineers with no in-depth experience in the subject. The text provides a step-by-step discussion of dynamics and geometry in state space as a basis for its explanation of nonlinear dynamics. It goes on to introduce Hamiltonian dynamics and present thorough treatments of such key topics as differential equation models, iterated map models (including a derivation of the famous Feigenbaum numbers), and the surprising role of number theory in dynamics. It is also the only introductory level book to include the increasingly important field of pattern formation, along with a survey of the controversial questions of quantum chaos. Important analytical tools, such as Lyapunov exponents, Kolmogorov entropies, and fractal dimensions, are treated in detail
  • With over 200 figures and diagrams, and both analytic and computer exercises following every chapter, the book is ideally suited for use as a text or for self-instruction. An extensive collection of annotated references surveys the literature in nonlinear dynamics, which the reader will be prepared to tackle after completing the book
Cataloging source
DLC
http://library.link/vocab/creatorName
Hilborn, Robert C
Illustrations
illustrations
Index
index present
LC call number
Q172.5.C45
LC item number
H55 1994
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Chaotic behavior in systems
  • Quantum chaos
  • Dynamics
  • Nonlinear theories
  • Sistemas dinamicos
  • Dinamica
  • Chaostheorie
  • Nichtlineares dynamisches System
  • Quantenchaos
  • Théories non linéaires
  • Chaos (théorie des systèmes)
  • Chaos quantique
  • Dynamique
  • Chaos
  • Système dynamique
  • Mécanique quantique
  • Théorie non-linéaire
  • Chaotic behavior in systems
  • Dynamics
  • Nonlinear theories
  • Quantum chaos
Label
Chaos and nonlinear dynamics : an introduction for scientists and engineers, Robert C. Hilborn
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 628-648) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
I. The Phenomenology of Chaos. 1. Three Chaotic Systems. 2. The Universality of Chaos -- II. Toward a Theory of Nonlinear Dynamics and Chaos. 3. Dynamics in State Space: One and Two Dimensions. 4. Three-Dimensional State Space and Chaos. 5. Iterated Maps. 6. Quasi-Periodicity and Chaos. 7. Intermittency and Crises. 8. Hamiltonian Systems -- III. Measures of Chaos. 9. Quantifying Chaos. 10. Many Dimensions and Multifractals -- IV. Special Topics. 11. Pattern Formation and Spatiotemporal Chaos. 12. Quantum Chaos, The Theory of Complexity, and Other Topics -- Appendix A: Fourier Power Spectra -- Appendix B: Bifurcation Theory -- Appendix C: The Lorenz Model -- Appendix D: The Research Literature on Chaos -- Appendix E: Computer Programs
Dimensions
25 cm.
Extent
xvii, 654 p.
Isbn
9780195088168
Isbn Type
(pbk)
Lccn
92040059
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
ill.
System control number
  • (OCoLC)27011496
  • (OCoLC)ocm27011496
Label
Chaos and nonlinear dynamics : an introduction for scientists and engineers, Robert C. Hilborn
Publication
Bibliography note
Includes bibliographical references (p. 628-648) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
I. The Phenomenology of Chaos. 1. Three Chaotic Systems. 2. The Universality of Chaos -- II. Toward a Theory of Nonlinear Dynamics and Chaos. 3. Dynamics in State Space: One and Two Dimensions. 4. Three-Dimensional State Space and Chaos. 5. Iterated Maps. 6. Quasi-Periodicity and Chaos. 7. Intermittency and Crises. 8. Hamiltonian Systems -- III. Measures of Chaos. 9. Quantifying Chaos. 10. Many Dimensions and Multifractals -- IV. Special Topics. 11. Pattern Formation and Spatiotemporal Chaos. 12. Quantum Chaos, The Theory of Complexity, and Other Topics -- Appendix A: Fourier Power Spectra -- Appendix B: Bifurcation Theory -- Appendix C: The Lorenz Model -- Appendix D: The Research Literature on Chaos -- Appendix E: Computer Programs
Dimensions
25 cm.
Extent
xvii, 654 p.
Isbn
9780195088168
Isbn Type
(pbk)
Lccn
92040059
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
ill.
System control number
  • (OCoLC)27011496
  • (OCoLC)ocm27011496

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