This work covers material for an introductory course in the theory of dynamical systems. There is a short tutorial in MAPLE to facilitate the understanding of the theory. The text is divided into two parts: continuous systems using differential equations and discrete dynamical systems. Differential equations are used to model examples taken from various topics such as mechanical systems, interacting species, electronic circuits, chemical reactions, and meterology. The second part of the text deals with real and complex dynamical systems. Examples are taken from population modelling, nonlinear optics, and materials science. Linear algebra and real and complex analysis are prerequisites.

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This new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions. It contains two new chapters on neural networks and simulation.

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Articles li�s � Dynamical systems with applications using Maple

Dynamical systems with applications using Maple

LYNCH, Stephen

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