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Chaos: An Introduction to Dynamical Systems /
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Catalogue Information
Field name
Details
Dewey Class
515
Title
Chaos ([EBook] :) : An Introduction to Dynamical Systems / / by Kathleen T. Alligood, Tim D. Sauer, James A. Yorke.
Author
Alligood, Kathleen T.
Added Personal Name
Sauer, Tim D.
author.
Yorke, James A.
author.
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : : Springer New York, , 1996.
Physical Details
XVII, 603 p. : online resource.
Series
Textbooks in mathematical sciences
1431-9381
ISBN
9780387224923
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/b97589
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Complex Systems
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Mathematical analysis
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Mathematics
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Statistical Physics and Dynamical Systems
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System theory
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Authors:
Alligood, Kathleen T.
.
Sauer, Tim D.
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Yorke, James A.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Textbooks in mathematical sciences
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Classification:
515
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