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100   $a20150122h20152015  uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aPositive dynamical systems in discrete time $etheory, models, and applications by /$fUlrich Krause
210  1$aBerlin ;$aBoston :$cWalter de Gruyter GmbH & Co., KG,$d[2015]
210  4$dİ2015
215   $a1 online resource (366 p.)
225 1 $aDe Gruyter studies in mathematics ;$v62
300   $aDescription based upon print version of record.
311   $a3-11-036571-5 
311   $a3-11-036975-3 
320   $aIncludes bibliographical references and index.
327   $tFrontmatter -- $tPreface -- $tContents -- $tNotation -- $tList of Figures -- $t1. How positive discrete dynamical systems do arise -- $t2. Concave Perron-Frobenius theory -- $t3. Internal metrics on convex cones -- $t4. Contractive dynamics on metric spaces -- $t5. Ascending dynamics in convex cones of infinite dimension -- $t6. Limit set trichotomy -- $t7. Non-autonomous positive systems -- $t8. Dynamics of interaction: opinions, mean maps, multi-agent coordination, and swarms -- $tIndex -- $tBackmatter
330   $aThis book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA) 
410  0$aDe Gruyter studies in mathematics ;$v62.
606   $aArithmetic$xFoundations$vTextbooks
606   $aSet theory$vTextbooks
610   $a(Concave) Perron-Frobenius Theory.
610   $aIteration of Means.
610   $aNonautonomous Dynamical Systems.
610   $aNonlinear Difference Equations.
610   $aNonlinear Positive Operators.
610   $aOpinion Dynamics.
610   $aSwarm Dynamics.
615  0$aArithmetic$xFoundations
615  0$aSet theory
676   $a515/.39
686   $aSK 580$2rvk
700   $aKrause$b Ulrich$f1940-$01537681
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788810403321
996   $aPositive dynamical systems in discrete time$93787109
997   $aUNINA