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This course-based text revisits classic concepts in nonlinear
circuit theory from a very much introductory point of view: the
presentation is completely self-contained and does not assume any
prior knowledge of circuit theory. It is simply assumed that
readers have taken a first-year undergraduate course in
differential and integral calculus, along with an elementary
physics course in classical mechanics and electrodynamics. Further,
it discusses topics not typically found in standard textbooks, such
as nonlinear operational amplifier circuits, nonlinear chaotic
circuits and memristor networks. Each chapter includes a set of
illustrative and worked examples, along with end-of-chapter
exercises and lab exercises using the QUCS open-source circuit
simulator. Solutions and other material are provided on the YouTube
channel created for this book by the authors.
The purpose of this introductory book is to couple the teaching of
chaotic circuit and systems theory with the use of field
programmable gate arrays (FPGAs). As such, it differs from other
texts on chaos: first, it puts emphasis on combining theoretical
methods, simulation tools and physical realization to help the
reader gain an intuitive understanding of the properties of chaotic
systems. Second, the "medium" used for physical realization is the
FPGA. These devices are massively parallel architectures that can
be configured to realize a variety of logic functions. Hence, FPGAs
can be configured to emulate systems of differential equations.
Nevertheless maximizing the capabilities of an FPGA requires the
user to understand the underlying hardware and also FPGA design
software. This is achieved by the third distinctive feature of this
book: a lab component in each chapter. Here, readers are asked to
experiment with computer simulations and FPGA designs, to further
their understanding of concepts covered in the book. This text is
intended for graduate students in science and engineering
interested in exploring implementation of nonlinear dynamical
(chaotic) systems on FPGAs.
The purpose of this introductory book is to couple the teaching of
chaotic circuit and systems theory with the use of field
programmable gate arrays (FPGAs). As such, it differs from other
texts on chaos: first, it puts emphasis on combining theoretical
methods, simulation tools and physical realization to help the
reader gain an intuitive understanding of the properties of chaotic
systems. Second, the "medium" used for physical realization is the
FPGA. These devices are massively parallel architectures that can
be configured to realize a variety of logic functions. Hence, FPGAs
can be configured to emulate systems of differential equations.
Nevertheless maximizing the capabilities of an FPGA requires the
user to understand the underlying hardware and also FPGA design
software. This is achieved by the third distinctive feature of this
book: a lab component in each chapter. Here, readers are asked to
experiment with computer simulations and FPGA designs, to further
their understanding of concepts covered in the book. This text is
intended for graduate students in science and engineering
interested in exploring implementation of nonlinear dynamical
(chaotic) systems on FPGAs.
This course-based text revisits classic concepts in nonlinear
circuit theory from a very much introductory point of view: the
presentation is completely self-contained and does not assume any
prior knowledge of circuit theory. It is simply assumed that
readers have taken a first-year undergraduate course in
differential and integral calculus, along with an elementary
physics course in classical mechanics and electrodynamics. Further,
it discusses topics not typically found in standard textbooks, such
as nonlinear operational amplifier circuits, nonlinear chaotic
circuits and memristor networks. Each chapter includes a set of
illustrative and worked examples, along with end-of-chapter
exercises and lab exercises using the QUCS open-source circuit
simulator. Solutions and other material are provided on the YouTube
channel created for this book by the authors.
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