03415nam 2200769 450 991081064710332120200520144314.03-11-036569-33-11-039134-110.1515/9783110365696(CKB)3360000000515424(EBL)1789553(SSID)ssj0001437172(PQKBManifestationID)11799440(PQKBTitleCode)TC0001437172(PQKBWorkID)11444795(PQKB)11411912(DE-B1597)428180(OCoLC)1013949401(OCoLC)904457981(DE-B1597)9783110365696(MiAaPQ)EBC1789553(Au-PeEL)EBL1789553(CaPaEBR)ebr11049508(CaONFJC)MIL808062(OCoLC)905378425(PPN)187997705(EXLCZ)99336000000051542420150122h20152015 uy| 0engur|n|---|||||txtccrPositive dynamical systems in discrete time theory, models, and applications by /Ulrich KrauseBerlin ;Boston :Walter de Gruyter GmbH & Co., KG,[2015]©20151 online resource (366 p.)De Gruyter studies in mathematics ;62Description based upon print version of record.3-11-036571-5 3-11-036975-3 Includes bibliographical references and index.Frontmatter -- Preface -- Contents -- Notation -- List of Figures -- 1. How positive discrete dynamical systems do arise -- 2. Concave Perron-Frobenius theory -- 3. Internal metrics on convex cones -- 4. Contractive dynamics on metric spaces -- 5. Ascending dynamics in convex cones of infinite dimension -- 6. Limit set trichotomy -- 7. Non-autonomous positive systems -- 8. Dynamics of interaction: opinions, mean maps, multi-agent coordination, and swarms -- Index -- BackmatterThis book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA) De Gruyter studies in mathematics ;62.ArithmeticFoundationsTextbooksSet theoryTextbooks(Concave) Perron-Frobenius Theory.Iteration of Means.Nonautonomous Dynamical Systems.Nonlinear Difference Equations.Nonlinear Positive Operators.Opinion Dynamics.Swarm Dynamics.ArithmeticFoundationsSet theory515/.39SK 580rvkKrause Ulrich1940-1688526MiAaPQMiAaPQMiAaPQBOOK9910810647103321Positive dynamical systems in discrete time4062830UNINA