Lectures on Chaotic Dynamical Systems

Erscheinungsjahr 2003
ISBN: 978-0-8218-3168-7
Verlag: American Mathematical Society

Buch, Englisch, Band 28, Format (B × H): 184 mm x 263 mm, Gewicht: 843 g

Reihe: AMS/IP Studies in Advanced Mathematics

This work is devoted to chaotic nonlinear dynamics. It presents a consistent, up-to-date introduction to the field of strange attractors, hyperbolic repellers, and nonlocal bifurcations. The authors keep the highest possible level of "physical" intuition while staying mathematically rigorous.

This work is devoted to chaotic nonlinear dynamics. It presents a consistent, up-to-date introduction to the field of strange attractors, hyperbolic repellers, and nonlocal bifurcations. The authors keep the highest possible level of "physical" intuition while staying mathematically rigorous. In addition, they explain a variety of important nonstandard algorithms and problems involving the computation of chaotic dynamics. The book will help readers who are not familiar with nonlinear dynamics to understand and enjoy sophisticated modern monographs on dynamical systems and chaos. It is intended for courses in either mathematics, physics, or engineering, prerequisites are calculus, differential equations, and functional analysis.

Basic concepts. Zero-dimensional dynamics. One-dimensional dynamics. Two-dimensional dynamics. Systems with 1.5 degrees of freedom. Systems generated by three-dimensional vector fields. Lyapunov exponents. Appendix. Bibliography. Index

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme

Über Autor(innen)

(Tsing-Hua University, Hsinchu, Taiwan, China)