Working with Dynamical Systems

This book provides working tools for the study and design of dynamical systems, emphasizing qualitative analysis over complex mathematics. The author includes executable Mathematica notebooks and extensive examples for discussion of mechanical models, models of chemical reactions, dynamics of patterns, and dynamical systems in space.

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This book provides working tools for the study and design of nonlinear dynamical systems applicable in physics and engineering. It offers a broad-based introduction to this challenging area of study, taking an applications-oriented approach that emphasizes qualitative analysis and approximations rather than formal mathematics or simulation. The author, an internationally recognized authority in the field, makes extensive use of examples and includes executable Mathematica notebooks that may be used to generate new examples as hands-on exercises. The coverage includes discussion of mechanical models, chemical and ecological interactions, nonlinear oscillations and chaos, forcing and synchronization, spatial patterns and waves.

Key Features:



Written for a broad audience, avoiding dependence on mathematical formulations in favor of qualitative, constructive treatment
Extensive use of physical and engineering applications
Incorporates Mathematica notebooks for simulations and hands-on self-study
Provides a gentle but rigorous introduction to real-world nonlinear problems
Features a final chapter dedicated to applications of dynamical systems to spatial patterns

The book is aimed at student and researchers in applied mathematics and mathematical modelling of physical and engineering problems. It teaches to see common features in systems of different origins, and to apply common methods of study without losing sight of complications and uncertainties related to their physical origin.