This book on advanced optoisolation circuits for nonlinearity applications in engineering
addresses two separate engineering and scientific areas and presents advanced analysis methods
for optoisolation circuits that cover a broad range of engineering applications. The book
analyzes optoisolation circuits as linear and nonlinear dynamical systems and their limit
cycles bifurcation and limit cycle stability by using Floquet theory. Further it discusses a
broad range of bifurcations related to optoisolation systems: cusp-catastrophe Bautin
bifurcation Andronov-Hopf bifurcation Bogdanov-Takens (BT) bifurcation fold Hopf bifurcation
Hopf-Hopf bifurcation Torus bifurcation (Neimark-Sacker bifurcation) and Saddle-loop or
Homoclinic bifurcation.Floquet theory helps as to analyze advance optoisolation systems.
Floquet theory is the study of the stability of linear periodic systems in continuous time.
Another way to describe Floquet theory it is the study of linear systems of differential
equations with periodic coefficients. The optoisolation system displays a rich variety of
dynamical behaviors including simple oscillations quasi-periodicity bi-stability between
periodic states complex periodic oscillations (including the mixed-mode type) and chaos. The
route to chaos in this optoisolation system involves a torus attractor which becomes
destabilized and breaks up into a fractal object a strange attractor.The book is unique in its
emphasis on practical and innovative engineering applications. These include optocouplers in a
variety of 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 advanced levels and closely integrated with mathematical theory. The book is
primarily intended for newcomers to linear and nonlinear dynamics and advanced optoisolation
circuits as well as electrical and electronic engineers students and researchers in physics
who read the first book Optoisolation Circuits Nonlinearity Applications in Engineering. It is
ideally suited for engineers who have had no formal instruction in nonlinear dynamics but who
now desire to bridge the gap between innovative optoisolation circuits and advanced
mathematical analysis methods.
