Analysis and Simulation in Chaotic Systems, Second Edition is a text designed to be used at the graduate level in applied mathematics for students from mathematics, engineering, physics, chemistry and biology. Computations and computer simulations are used throughout this text to illustrate phenomena discussed and to supply readers with probes to use on new problems. For this new edition, the chapters have been restructured with special emphasis on introductory materials in the first two chapters as distinct from presentation materials in chapters 3 through 8. In addition, much new material has been added.

Zusammenfassung
For the most part, derivations are based on perturbation methods, and the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods.

Inhalt
Linear Systems.- Dynamical Systems.- Stability Methods for Nonlinear Systems.- Bifurcation and Topological Methods.- Regular Perturbation Methods.- Iterations and Perturbations.- Methods of Averaging.- Quasistatic-State Approximations.