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

Format:

Book

Author/Creator:

Sprott, Julien C.

Language:

English

Subjects (All):

Lyapunov exponents.

Flows (Differentiable dynamical systems).

Chaotic behavior in systems--Mathematics.

Chaotic behavior in systems.

Physical Description:

1 online resource (304 p.)

Edition:

1st ed.

Place of Publication:

New Jersey : World Scientific, c2010.

Language Note:

English

Summary:

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

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 265-280) and index.

ISBN:

9786612757662

9781282757660

1282757660

9789812838827

9812838821

OCLC:

670430585