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  • Format: ePub

This book employs 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. A survey that can be taught in a single academic term is provided, and it covers a greater variety of dynamical systems (discrete vs continuous time, finite vs infinite-dimensional, dissipative vs conservative) than are normally…mehr

Produktbeschreibung
This book employs 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. A survey that can be taught in a single academic term is provided, and it covers a greater variety of dynamical systems (discrete vs continuous time, finite vs infinite-dimensional, dissipative vs conservative) than are 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.

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Autorenporträt
Marc R 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 a MSc in 1990 and a PhD in 1994. In 1995, Roussel 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.