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010   $a981-15-5212-6
024 7 $a10.1007/978-981-15-5212-0
035   $a(CKB)4100000011384211
035   $a(DE-He213)978-981-15-5212-0
035   $a(MiAaPQ)EBC6299456
035   $a(PPN)252511301
035   $a(EXLCZ)994100000011384211
100   $a20200813d2020      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aBifurcation and Stability in Nonlinear Discrete Systems$b[electronic resource] /$fby Albert C. J. Luo
205   $a1st ed. 2020.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2020.
215   $a1 online resource (X, 313 p. 43 illus., 16 illus. in color.) 
225 1 $aNonlinear Physical Science,$x1867-8440
311   $a981-15-5211-8 
320   $aIncludes bibliographical references and index.
327   $aLocal 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. .
330   $aThis book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems.
410  0$aNonlinear Physical Science,$x1867-8440
606   $aComputational complexity
606   $aDynamics
606   $aErgodic theory
606   $aVibration
606   $aDynamical systems
606   $aControl engineering
606   $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036
606   $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010
615  0$aComputational complexity.
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aVibration.
615  0$aDynamical systems.
615  0$aControl engineering.
615 14$aComplexity.
615 24$aDynamical Systems and Ergodic Theory.
615 24$aVibration, Dynamical Systems, Control.
615 24$aControl and Systems Theory.
676   $a515.35
700   $aLuo$b Albert C. J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996418178303316
996   $aBifurcation and Stability in Nonlinear Discrete Systems$92018924
997   $aUNISA