Chaos

An Introduction to Dynamical Systems

Kathleen Alligood

620 pages, parution le 15/01/1997

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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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Caractéristiques techniques

	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