What kind of dynamics is a piecewise linear system able to display?
How may they generate heteroclinic chaos? How can the coexistence
of attractors be designed and characterized? Is it necessary to
have equilibrium points to generate chaotic behavior? Chaos theory
and complex systems are interesting and evolving topics whose
investigation from a theoretical and practical point of view
constantly leads to arising questions. Interesting behaviors can be
observed in self-excited attractors, hidden attractors and
non-self-excited attractors.This book presents some fundamentals of
linear system theory and recent approaches to design the three
classes of chaotic attractors in piecewise linear systems. Each
chapter presents a brief description and basic concepts to provide
an overview of linear systems theory; chaos and multistability in
integer linear systems; hidden and non-self-excited attractors; and
fractional approaches. They also provide example systems to
illustrate the concepts and design methods introduced. Some current
topics under investigation are addressed from an integer order
perspective to make the connection with the fractional order
counterpart.This textbook provides a comprehensive introduction,
methodologies, and analysis tools to study chaotic piecewise linear
systems and will be suitable for undergraduate or graduate students
interested in the field of chaos and complex dynamics.
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