Elegant chaos algebraically simple chaotic flows.

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, Rössler, and many others, but it goes on to show that there are...

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Bibliographic Details
Main Author: Sprott, Julien Clinton
Format: eBook Book
Language:English
Published: New Jersey World Scientific Publishing Co. Pte. Ltd 2010
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
WSPC
Subjects:
All Nonlinear Science Titles
Chaotic behavior in systems
Chaotic behavior in systems > Mathematics
Differential equations, Nonlinear
Electrical & Electronic Engineering (Circuits & Systems, Communications, Control, Computer Engineering)
Flows (Differentiable dynamical systems)
Lyapunov exponents
Mathematical Physics
SCIENCE
Statistical Physics, Complexity and Nonlinear Dynamical Systems
Chaos
Dynamical Systems
Electronic Circuits
Strange Attractors
Differential Equations
Fractals
Oscillators
Mathematical Models
ISBN:9812838813, 9789812838810, 9789812838827, 9812838821, 9813203544, 9789813203549
Online Access:Get full text
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Table of Contents:
  • Elegant chaos : algebraically simple chaotic flows -- Preface -- Contents -- List of Tables -- Chapter 1: Fundamentals -- Chapter 2: Periodically Forced Systems -- Chapter 3: Autonomous Dissipative Systems -- Chapter 4: Autonomous Conservative Systems -- Chapter 5: Low-dimensional Systems (D<3) -- Chapter 6: High-dimensional Systems (D>3) -- Chapter 7: Circulant Systems -- Chapter 8: Spatiotemporal Systems -- Chapter 9: Time-Delay Systems -- Chapter 10: Chaotic Electrical Circuits -- Bibliography -- Index