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Discrete Dynamics - Basic Theory and Examples (Hardcover, 1st ed. 2022)
Loot Price: R2,735
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Discrete Dynamics - Basic Theory and Examples (Hardcover, 1st ed. 2022)
Series: Mathematical Engineering
Expected to ship within 10 - 15 working days
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This book offers a complete and detailed introduction to the theory
of discrete dynamical systems, with special attention to stability
of fixed points and periodic orbits. It provides a solid
mathematical background and the essential basic knowledge for
further developments such as, for instance, deterministic chaos
theory, for which many other references are available (but
sometimes, without an exhaustive presentation of preliminary
notions). Readers will find a discussion of topics sometimes
neglected in the research literature, such as a comparison between
different predictions achievable by the discrete time model and the
continuous time model of the same application. Another novel aspect
of this book is an accurate analysis of the way a fixed point may
lose stability, introducing and comparing several notions of
instability: simple instability, repulsivity, and complete
instability. To help the reader and to show the flexibility and
potentiality of the discrete approach to dynamics, many examples,
numerical simulations, and figures have been included. The book is
used as a reference material for courses at a doctoral or upper
undergraduate level in mathematics and theoretical engineering.
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