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035   $a(OCoLC)865329972
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100   $a20130612h20142014  uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aComplexity and evolution of dissipative systems $ean analytical approach /$fSergey Vakulenko
210  1$aBerlin ;$aBoston :$cWalter de Gruyter GmbH & Co., KG,$d[2014]
210  4$dİ2014
215   $a1 online resource (316 p.)
225 0 $aDe Gruyter Series in Mathematics and Life Sciences ;$v4
225  0$aDe Gruyter series in mathematics and life sciences,$x2195-5530 ;$v4
300   $aDescription based upon print version of record.
311   $a3-11-026648-2 
311   $a1-306-20516-6 
320   $aIncludes bibliographical references and index.
327   $t Frontmatter -- $tPreface -- $tContents -- $t1. Introduction -- $t2. Complex dynamics in neural and genetic networks -- $t3. Complex patterns and attractors for reaction-diffusion systems -- $t4. Random perturbations, evolution and complexity -- $tBibliography -- $tIndex -- $t Backmatter
330   $aThis book focuses on the dynamic complexity of neural, genetic networks, and reaction diffusion systems. The author shows that all robust attractors can be realized in dynamics of such systems. In particular, a positive solution of the Ruelle-Takens hypothesis for on chaos existence for large class of reaction-diffusion systems is given. The book considers viability problems for such systems - viability under extreme random perturbations - and discusses an interesting hypothesis of M. Gromov and A. Carbone on biological evolution. There appears a connection with the Kolmogorov complexity theory. As applications, transcription-factors-microRNA networks are considered, patterning in biology, a new approach to estimate the computational power of neural and genetic networks, social and economical networks, and a connection with the hard combinatorial problems. 
410  3$aDe Gruyter Series in Mathematics and Life Sciences
606   $aMathematical physics
606   $aEnergy dissipation
606   $aBiophysics
606   $aAttractors (Mathematics)
606   $aChaotic behavior in systems
610   $aBiological Evolution.
610   $aDynamic Network Complexity.
610   $aFluid Dynamic Equation.
610   $aReaction Diffusion System.
610   $aViability Problem.
615  0$aMathematical physics.
615  0$aEnergy dissipation.
615  0$aBiophysics.
615  0$aAttractors (Mathematics)
615  0$aChaotic behavior in systems.
676   $a003
686   $aSK 560$2rvk
700   $aVakulenko$b Sergey$01567186
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910790832503321
996   $aComplexity and evolution of dissipative systems$93838403
997   $aUNINA