Chaos An Introduction to Dynamical Systems /

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 calc...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Alligood, Kathleen T. (Συγγραφέας), Sauer, Tim D. (Συγγραφέας), Yorke, James A. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York, 1996.
Σειρά:Textbooks in Mathematical Sciences,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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024 7 |a 10.1007/b97589  |2 doi 
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100 1 |a Alligood, Kathleen T.  |e author. 
245 1 0 |a Chaos  |h [electronic resource] :  |b An Introduction to Dynamical Systems /  |c by Kathleen T. Alligood, Tim D. Sauer, James A. Yorke. 
264 1 |a New York, NY :  |b Springer New York,  |c 1996. 
300 |a XVII, 603 p.  |b online resource. 
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490 1 |a Textbooks in Mathematical Sciences,  |x 1431-9381 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a System theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Analysis. 
650 2 4 |a Complex Systems. 
650 2 4 |a Statistical Physics and Dynamical Systems. 
700 1 |a Sauer, Tim D.  |e author. 
700 1 |a Yorke, James A.  |e author. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9780387946771 
830 0 |a Textbooks in Mathematical Sciences,  |x 1431-9381 
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912 |a ZDB-2-BAE 
950 |a Mathematics and Statistics (Springer-11649)