02672nam 2200445 450 991055183470332120221008230037.09783030950927(electronic bk.)9783030950910(MiAaPQ)EBC6904036(Au-PeEL)EBL6904036(CKB)21348624600041(PPN)261519794(EXLCZ)992134862460004120221008d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDiscrete dynamics basic theory and examples /Andrea BacciottiCham, Switzerland :Springer,[2022]©20221 online resource (153 pages) illustrations (chiefly color)Mathematical Engineering.Print version: Bacciotti, Andrea Discrete Dynamics Cham : Springer International Publishing AG,c2022 9783030950910 Includes bibliographical references and index.Discrete dynamical systems Stability and attraction Bifurcations Positive linear systemsThis 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.Mathematical Engineering.MathematicsMathematics.531.11Bacciotti Andrea8266MiAaPQMiAaPQMiAaPQ9910551834703321Discrete Dynamics2802650UNINA