Elegant chaos : algebraically simple chaotic flows / Julien Clinton Sprott.

This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are...

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Bibliographic Details
Main Author: Sprott, Julien C.
Format: eBook
Language:English
Published: New Jersey : World Scientific, ©2010.
Subjects:
Online Access:Click for online access

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100 1 |a Sprott, Julien C. 
245 1 0 |a Elegant chaos :  |b algebraically simple chaotic flows /  |c Julien Clinton Sprott. 
260 |a New Jersey :  |b World Scientific,  |c ©2010. 
300 |a 1 online resource (xv, 285 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references (pages 265-280) and index. 
588 0 |a Print version record. 
520 |a This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The. 
505 0 |a Preface; Contents; List of Tables; 1. Fundamentals; 2. Periodically Forced Systems; 3. Autonomous Dissipative Systems; 4. Autonomous Conservative Systems; 5. Low-dimensional Systems (D 3); 7. Circulant Systems; 8. Spatiotemporal Systems; 9. Time-Delay Systems; 10. Chaotic Electrical Circuits; Bibliography; Index 
650 0 |a Flows (Differentiable dynamical systems) 
650 0 |a Lyapunov exponents. 
650 0 |a Chaotic behavior in systems  |x Mathematics. 
650 7 |a MATHEMATICS  |x Differential Equations  |x General.  |2 bisacsh 
650 7 |a Chaotic behavior in systems  |x Mathematics  |2 fast 
650 7 |a Flows (Differentiable dynamical systems)  |2 fast 
650 7 |a Lyapunov exponents  |2 fast 
758 |i has work:  |a ELEGANT CHAOS (Text)  |1 https://id.oclc.org/worldcat/entity/E39PD3j9kpdQHDDjBgvC8pQbcX  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Sprott, Julien C.  |t Elegant chaos.  |d New Jersey : World Scientific, ©2010  |z 9789812838810  |w (DLC) 2010282089  |w (OCoLC)619662421 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=731335  |y Click for online access 
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