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.
General
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