Dynamical Systems

Differential Equations, Maps, and Chaotic Behaviour

D. Arrowsmith, C.M. Place (Autoren)

Buch | Softcover

330 Seiten

1992
CRC Press (Verlag)
978-0-412-39080-7 (ISBN)

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Discusses the qualitative properties of dynamical systems including both differential equations and maps. Providing numerous exercises, the authors assume that the reader has access to a microcomputer but significant computing power is not required.

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.

C.M. Place

Preface, 1 Introduction, 2 Linear systems, 3 Non-linear systems in the plane, 4 Flows on non-planar phase spaces, 5 Applications I: planar phase spaces, 6 Applications II: non-planar phase spaces, families of systems and bifurcations, Bibliography, Hints to Exercises, Index

Erscheint lt. Verlag	1.8.1992
Reihe/Serie	Chapman Hall/CRC Mathematics Series
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	610 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	0-412-39080-9 / 0412390809
ISBN-13	978-0-412-39080-7 / 9780412390807
Zustand	Neuware