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This book describes a new concept for analyzing RF/microwave
circuits, which includes RF/microwave antennas. The book is unique
in its emphasis on practical and innovative microwave RF
engineering applications. The analysis is based on nonlinear
dynamics and chaos models and shows comprehensive benefits and
results. All conceptual RF microwave circuits and antennas are
innovative and can be broadly implemented in engineering
applications. Given the dynamics of RF microwave circuits and
antennas, they are suitable for use in a broad range of
applications. The book presents analytical methods for microwave RF
antennas and circuit analysis, concrete examples, and geometric
examples. The analysis is developed systematically, starting with
basic differential equations and their bifurcations, and
subsequently moving on to fixed point analysis, limit cycles and
their bifurcations. Engineering applications include microwave RF
circuits and antennas in a variety of topological structures, RFID
ICs and antennas, microstrips, circulators, cylindrical RF network
antennas, Tunnel Diodes (TDs), bipolar transistors, field effect
transistors (FETs), IMPATT amplifiers, Small Signal (SS)
amplifiers, Bias-T circuits, PIN diode circuits, power amplifiers,
oscillators, resonators, filters, N-turn antennas, dual spiral coil
antennas, helix antennas, linear dipole and slot arrays, and hybrid
translinear circuits. 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 also
includes a wealth of examples, making it ideal for intermediate
graduate level studies. It is aimed at electrical and electronic
engineers, RF and microwave engineers, students and researchers in
physics, and will also greatly benefit all engineers who have had
no formal instruction in nonlinear dynamics, but who now desire to
bridge the gap between innovative microwave RF circuits and
antennas and advanced mathematical analysis methods.
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.
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.
This book describes a new concept for analyzing RF/microwave
circuits, which includes RF/microwave antennas. The book is unique
in its emphasis on practical and innovative microwave RF
engineering applications. The analysis is based on nonlinear
dynamics and chaos models and shows comprehensive benefits and
results. All conceptual RF microwave circuits and antennas are
innovative and can be broadly implemented in engineering
applications. Given the dynamics of RF microwave circuits and
antennas, they are suitable for use in a broad range of
applications. The book presents analytical methods for microwave RF
antennas and circuit analysis, concrete examples, and geometric
examples. The analysis is developed systematically, starting with
basic differential equations and their bifurcations, and
subsequently moving on to fixed point analysis, limit cycles and
their bifurcations. Engineering applications include microwave RF
circuits and antennas in a variety of topological structures, RFID
ICs and antennas, microstrips, circulators, cylindrical RF network
antennas, Tunnel Diodes (TDs), bipolar transistors, field effect
transistors (FETs), IMPATT amplifiers, Small Signal (SS)
amplifiers, Bias-T circuits, PIN diode circuits, power amplifiers,
oscillators, resonators, filters, N-turn antennas, dual spiral coil
antennas, helix antennas, linear dipole and slot arrays, and hybrid
translinear circuits. 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 also
includes a wealth of examples, making it ideal for intermediate
graduate level studies. It is aimed at electrical and electronic
engineers, RF and microwave engineers, students and researchers in
physics, and will also greatly benefit all engineers who have had
no formal instruction in nonlinear dynamics, but who now desire to
bridge the gap between innovative microwave RF circuits and
antennas and advanced mathematical analysis methods.
This book study the interaction between bacteria and phage in a
gradostat environment. The gradostat is needed in order to
investigate the influence of nutrient gradient on the phenomenon.
Methods will include finding system bifurcations, fixed points and
their stability and system dynamics. Possible applications of the
subject are for the recently fashionable phage therapy. A chemostat
(from Chemical environment is static) is a bioreactor to which
fresh medium is continuously added, while culture liquid is
continuously removed to keep the culture volume constant. By
changing the rate with which medium is added to the bioreactor the
growth rate of the microorganisms can be easily controlled. One of
the most important features of chemostats is that micro-organisms
can be grown in a physiological steady state. In steady state, all
culture parameters remain constant (culture volume, dissolved
oxygen concentration, nutrient and product concentrations, pH, cell
density, etc.). Micro-organisms grown in chemostats naturally
strive to steady state: if a low amount of cells are present in the
bioreactor, the cells can grow at growth rates higher than the
dilution rate.
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.
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