Dynamical Systems: Differential Equations, Maps, and Chaotic Behaviour, 1st Edition (Paperback) book cover

Dynamical Systems

Differential Equations, Maps, and Chaotic Behaviour, 1st Edition

By D. Arrowsmith, C.M. Place

Chapman and Hall/CRC

330 pages

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Paperback: 9780412390807
pub: 1992-08-01
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Description

This text discusses the qualitative properties of dynamical systems including both differential equations and maps. The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams) to develop the material, including a treatment of chaotic behavior.

The unprecedented popular interest shown in recent years in the chaotic behavior of discrete dynamic systems including such topics as chaos and fractals has had its impact on the undergraduate and graduate curriculum. However there has, until now, been no text which sets out this developing area of mathematics within the context of standard teaching of ordinary differential equations.

Applications in physics, engineering, and geology are considered and introductions to fractal imaging and cellular automata are given.

About the Series

Chapman Hall/CRC Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
SCI040000
SCIENCE / Mathematical Physics