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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Hlavní autor: Sprott, Julien Clinton
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: New Jersey World Scientific Publishing Co. Pte. Ltd 2010
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
WSPC
Témata:
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
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Popis
Shrnutí: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 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 book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.
Bibliografie:Includes bibliography (p. 265-280) and index
ISBN:9812838813
9789812838810
9789812838827
9812838821
9813203544
9789813203549
DOI:10.1142/7183