Nonlinear Dynamics

A Hands-On Introductory Survey
Erscheinungsjahr 2019
ISBN: 978-1-64327-465-2
Verlag: IOP Concise Physics

Buch, Englisch, 189 Seiten, Hardback, Format (B × H): 183 mm x 260 mm, Gewicht: 563 g

This book uses a hands-on approach to nonlinear dynamics using commonly available software, including the free dynamical systems software Xppaut, Matlab (or its free cousin, Octave) and the Maple symbolic algebra system.Detailed instructions for various common procedures, including bifurcation analysis using the version of AUTO embedded in Xppaut, are provided. This book also provides a survey that can be taught in a single academic term covering a greater variety of dynamical systems (discrete versus continuous time, finite versus infinite-dimensional, dissipative versus conservative) than is normally seen in introductory texts. Numerical computation and linear stability analysis are used as unifying themes throughout the book. Despite the emphasis on computer calculations, theory is not neglected, and fundamental concepts from the field of nonlinear dynamics such as solution maps and invariant manifolds are presented.

Autoren/Hrsg.

Roussel, Marc R

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Naturwissenschaften, Technik, Medizin

Inhaltsverzeichnis

- Preface
- Author biography
- Introduction
- Phase-plane analysis
- Stability analysis for ODEs
- Introduction to bifurcations
- Bifurcation analysis with AUTO
- Invariant manifolds
- Singular perturbation theory
- Hamiltonian systems
- Nonautonomous systems
- Maps and differential equations
- Maps: stability and bifurcation analysis
- Delay-differential equations
- Reaction-diffusion equations
- Appendix A: Software installation

Über Autor(innen)

Marc Roussel earned a Bachelor's degree in chemical physics from Queen's University in 1988. He then went on to graduate work in the Chemical Physics Theory Group at the University of Toronto under the supervision of Simon J Fraser, earning an MSc in 1990 and a PhD in 1994. In 1995, Marc was hired as an Assistant Professor by the Department of Chemistry at the University of Lethbridge. He was promoted to Associate Professor in 2000, and to Professor in 2005.