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.
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