Chaotic Maps

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Focused on the theory of chaotic maps in finite-dimensional spaces, this book is structured around lecture notes from a graduate course. It includes ten chapters that explore one-dimensional dynamical systems, bifurcations, symbolic dynamics, and fractals, along with a novel perspective on rapid fluctuations in chaotic maps. Two appendices facilitate the transition from discrete to continuous-time dynamical systems, covering ordinary and partial differential equations. The comprehensive content is suitable for readers seeking a foundational understanding of dynamical systems and chaos.