Chaos

An Introduction to Dynamical Systems
Buch | Softcover
603 Seiten
1996
Springer-Verlag New York Inc.
978-0-387-94677-1 (ISBN)

Lese- und Medienproben

Chaos - Kathleen T. Alligood, Tim D. Sauer, James A. Yorke
64,19 inkl. MwSt
Chaos: An Introduction to Dynamical Systems, was developed and class-tested by a distinguished team of authors at two universities through their teaching of courses based on the material. Intended for courses in nonlinear dynamics offered either in Mathematics or Physics, the text requires only calculus, differential equations, and linear algebra as prerequisites. 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 to be used with any software package. And each chapter ends with a Challenge, which provides students a tour through an advanced topic in the form of an extended exercise.

One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.

Reihe/Serie Textbooks in Mathematical Sciences
Zusatzinfo XVII, 603 p.
Verlagsort New York, NY
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Geometrie / Topologie
Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Thermodynamik
ISBN-10 0-387-94677-2 / 0387946772
ISBN-13 978-0-387-94677-1 / 9780387946771
Zustand Neuware
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