Elegant chaos : algebraically simple chaotic flows / Julien Clinton Sprott.
Material type: TextPublication details: New Jersey : World Scientific, ©2010.Description: 1 online resource (xv, 285 pages) : illustrationsContent type:- text
- computer
- online resource
- 9789812838827
- 9812838821
- Flows (Differentiable dynamical systems)
- Lyapunov exponents
- Chaotic behavior in systems -- Mathematics
- Flots (Dynamique différentiable)
- Exposants de Liapounov
- Chaos -- Mathématiques
- MATHEMATICS -- Differential Equations -- General
- Chaotic behavior in systems -- Mathematics
- Flows (Differentiable dynamical systems)
- Lyapunov exponents
- 515/.35 22
- QA614.82 .S67 2010eb
Item type | Home library | Collection | Call number | Materials specified | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
Electronic-Books | OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Includes bibliographical references (pages 265-280) and index.
Print version record.
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.
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
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