This book describes a new concept in analyzing circuits, which includes optoisolation elements. The analysis is based on nonlinear dynamics and chaos models and shows comprehensive benefits and results. All conceptual optoisolation circuits are innovative and can be broadly implemented in engineering applications. The dynamics of optoisolation circuits provides several ways to use them in a variety of applications covering wide areas. The presentation fills the gap of analytical methods for optoisolation circuits analysis, concrete examples, and geometric examples. The optoisolation circuits analysis is developed systematically, starting with basic optoisolation circuits differential equations and their bifurcations, followed by Fixed points analysis, limit cycles and their bifurcations. Optoisolation circuits can be characterized as Lorenz equations, chaos, iterated maps, period doubling and attractors. This book is aimed at electrical and electronic engineers, students and researchers in physics as well.A unique features of the book are its emphasis on practical and innovative engineering applications. These include optocouplers in a variety topological structures, passive components, conservative elements, dissipative elements, active devices, etc., In each chapter, the concept is developed from the basic assumptions up to the final engineering outcomes. The scientific background is explained at basic and advance levels and closely integrated with mathematical theory. Many examples are presented in this book and it is also ideal for an intermediate level courses at graduate level studies. It is also ideal for engineer who has not had formal instruction in nonlinear dynamics, but who now desires to fill the gap between innovative optoisolation circuits and advance mathematical analysis methods.