Discrete Dynamics

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Focusing on discrete dynamical systems, this book provides an in-depth introduction to the stability of fixed points and periodic orbits. It emphasizes foundational mathematical concepts essential for understanding deterministic chaos theory and includes often-overlooked topics like the comparison between discrete and continuous time models. A unique analysis of stability loss introduces various instability types, supported by numerous examples, numerical simulations, and figures. It serves as a valuable reference for advanced mathematics and theoretical engineering courses.