Symbolic dynamics is a mature yet rapidly developing area of dynamical systems. It has established strong connections with many areas, including linear algebra, graph theory, probability, group theory, and the theory of computation, as well as data storage, statistical mechanics…
This book is an introduction into the theory of discrete dynamical systems with emphasis on the topological background. It is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and a course in Gener…
"Modeling the dynamics of complex systems in increasingly important across nearly all modern engineering disciplines. First published in 2001, Forbes T. Brown's Engineering System Dynamics: A Unified Graph-Centered Approach introduced a unique and highly successful approach to m…
This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a systemare nonnegative in a natural way. This is in biology, demography or economics, where the levels of populati…
From the Foreword:"' a seminal text covering the simulation design and analysis of a broad variety of systems using two of the most modern software packages available today. ' particularly adept [at] enabling students new to the field to gain a thorough understanding of the basi…
The book presents the methodology applicable to the modeling and analysis of a variety of dynamic systems, regardless of their physical origin. It includes detailed modeling of mechanical, electrical, electro-mechanical, thermal, and fluid systems. Models are developed in the fo…
