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Chaos

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Chaos

Chaos

An Introduction to Dynamical Systems

620 pages, parution le 15/01/1997

Résumé

Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits -- short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed for use with any software package. And each chapter ends with a Challenge, guiding students through an advanced topic in the form of an extended exercise.

Written for: Post-calculus math majors, advanced h.s./college students

Sommaire

  • One-Dimensional Maps
  • Two-dimensional Maps
  • Chaos
  • Fractals
  • Chaos in Two-Dimensional Maps
  • Chaotic Attractors
  • Differential Equations
  • Periodic Orbits and Limited Sets
  • Chaos in Differential Equations
  • Stable Manifolds and Crises
  • Bifurcations
  • Cascades
  • State Reconstruction from Data
  • Appendices A & B
  • Answers and Hints to Selected Exercises
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  PAPIER
Éditeur(s) Springer
Auteur(s) Kathleen Alligood
Parution 15/01/1997
Nb. de pages 620
Format 18 x 23,5
Couverture Broché
Poids 1005g
Intérieur Noir et Blanc
EAN13 9780387946771
ISBN13 978-0-387-94677-1

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