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Chaos: An Introduction to Dynamical Systems /

Chaos: An Introduction to Dynamical Systems /
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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
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