03705nam 22006735 450 99641817830331620201107153439.0981-15-5212-610.1007/978-981-15-5212-0(CKB)4100000011384211(DE-He213)978-981-15-5212-0(MiAaPQ)EBC6299456(PPN)252511301(EXLCZ)99410000001138421120200813d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierBifurcation and Stability in Nonlinear Discrete Systems[electronic resource] /by Albert C. J. Luo1st ed. 2020.Singapore :Springer Singapore :Imprint: Springer,2020.1 online resource (X, 313 p. 43 illus., 16 illus. in color.) Nonlinear Physical Science,1867-8440981-15-5211-8 Includes bibliographical references and index.Local Stability and Bifurcations -- Low-dimensional Discrete Systems -- Global Stability in 1-D discrete systems -- Forward and backward discrete systems -- Infinite-fixed-point Systems -- Subject index. .This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems.Nonlinear Physical Science,1867-8440Computational complexityDynamicsErgodic theoryVibrationDynamical systemsControl engineeringComplexityhttps://scigraph.springernature.com/ontologies/product-market-codes/T11022Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XVibration, Dynamical Systems, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/T15036Control and Systems Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/T19010Computational complexity.Dynamics.Ergodic theory.Vibration.Dynamical systems.Control engineering.Complexity.Dynamical Systems and Ergodic Theory.Vibration, Dynamical Systems, Control.Control and Systems Theory.515.35Luo Albert C. Jauthttp://id.loc.gov/vocabulary/relators/aut720985MiAaPQMiAaPQMiAaPQBOOK996418178303316Bifurcation and Stability in Nonlinear Discrete Systems2018924UNISA