Dynamical Systems

Differential Equations, Maps, and Chaotic Behaviour
1. Auflage 1992
ISBN: 978-0-412-39080-7
Verlag: Taylor & Francis Ltd

Buch, Englisch, 330 Seiten, Format (B × H): 155 mm x 239 mm, Gewicht: 490 g

Reihe: Chapman Hall/CRC Mathematics Series

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.

Autoren/Hrsg.

Arrowsmith, D. K.

Place, C.M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik

Inhaltsverzeichnis

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

Über Autor(innen)

C.M. Place