Nonlinear dynamics and chaos : with applications to physics, biology, chemistry, and engineering / Steven H. Strogatz.

Edition
  • 1st paperback printing.
Published
  • Cambridge, MA : Westview Press 2000
Physical description
xi, 498 pages, 4 pages of plates : illustrations (some color) ; 24 cm.
ISBN
  • 0738204536
  • 9780738204536
Notes
  • Includes bibliographical references (pages 465-474) and indexes.
  • Other format: Electronic version also available
  • Originally published : Reading, Mass : Addison-Wesley, 1994.
Contents
  • Overview -- One-dimensional flows: Flows on the line ; Bifurcations ; Flows on the circle -- Two-dimensional flows: Linear systems ; Phase plane ; Limit cycles ; Bifurcations revisited -- Chaos: Lorenz equations ; One-dimensional maps ; Fractals ; Strange attractors.
Related item
  • http://catdir.loc.gov/catdir/enhancements/fy0830/93006166-d.html
Genre
  • Bibliography
  • Illustrated
  • text
Language
  • English
Related Internet Resources

Summary

  • This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory.Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.

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University of Aberdeen Libraries: Sir Duncan Rice Library: Floor 5 531.11 Str
University of Aberdeen Libraries: Sir Duncan Rice Library: Floor 5 531.11 Str
University of Aberdeen Libraries: Sir Duncan Rice Library: Floor 5 531.11 Str
University of Aberdeen Libraries: Sir Duncan Rice Library: Floor 5 531.11 Str
University of Aberdeen Libraries: Medical Library: General 531.11 STR
University of Aberdeen Libraries: Medical Library: General 531.11 STR
University of Aberdeen Libraries: Medical Library: General 531.11 STR
Aberystwyth University Library: Physical Sciences Library Q172.5.C45.S9
University of Bath Library: Level 4 519.45 STR
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University of Birmingham Libraries: Main Library, Collection Q172.5.C45 S767
University of Bristol Libraries: Queen's Building Library Q172.5.C45 STR 7 day loan: vacation loan
University of Bristol Libraries: Queen's Building Library Q172.5.C45 STR 7 day loan: vacation loan
University of Bristol Libraries: Queen's Building Library Q172.5.C45 STR 7 day loan: vacation loan
University of Bristol Libraries: Queen's Building Library Q172.5.C45 STR 7 day loan: vacation loan
University of Bristol Libraries: Queen's Building Library Q172.5.C45 STR 7 day loan: vacation loan
University of Bristol Libraries: Queen's Building Library Q172.5.C45 STR 7 day loan: vacation loan
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University of Bristol Libraries: Queen's Building Library Q172.5.C45 STR 7 day loan: vacation loan
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University of Bristol Libraries: Queen's Building Library Q172.5.C45 STR 7 day loan: vacation loan
University of Bristol Libraries: Queen's Building Library Q172.5.C45 STR 7 day loan: vacation loan
University of Bristol Libraries: Queen's Building Library Q172.5.C45 STR 7 day loan: vacation loan
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Imperial College London Library: Central Library: Level 2 501.185 STR
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Imperial College London Library: Central Library: Level 2 501.185 STR
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Imperial College London Library: Central Library: Level 2 501.185 STR
Imperial College London Library: Central Library: Level 2 501.185 STR
Imperial College London Library: Central Library: Level 2 501.185 STR
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University of Oxford Libraries: Somerville College Library 531 STR 2
University of Oxford Libraries: Somerville College Library 531 STR 2
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University of Oxford Libraries: St Peter's College Library: Upper AWI ORN C [str]
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