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Complexity and Evolution of Dissipative Systems : An Analytical Approach

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Title: Complexity and Evolution of Dissipative Systems : An Analytical Approach
Description: This 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.
Authors: Sergey Vakulenko
Resource Type: eBook.
Subjects: Diffusion, Chaotic behavior in systems, System theory, Mathematical models, Energy dissipation, Mathematical physics, Attractors (Mathematics), Biophysics
Categories: MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, MATHEMATICS / Discrete Mathematics, MATHEMATICS / Combinatorics, SCIENCE / Life Sciences / Biophysics, SCIENCE / Life Sciences / Molecular Biology, SCIENCE / Mechanics / Fluids
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
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RelevancyScore: 1051
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
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  Data: Complexity and Evolution of Dissipative Systems : An Analytical Approach
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  Data: This 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.
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 003
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Diffusion
        Type: general
      – SubjectFull: Chaotic behavior in systems
        Type: general
      – SubjectFull: System theory
        Type: general
      – SubjectFull: Mathematical models
        Type: general
      – SubjectFull: Energy dissipation
        Type: general
      – SubjectFull: Mathematical physics
        Type: general
      – SubjectFull: Attractors (Mathematics)
        Type: general
      – SubjectFull: Biophysics
        Type: general
    Titles:
      – TitleFull: Complexity and Evolution of Dissipative Systems : An Analytical Approach
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Sergey Vakulenko
      – PersonEntity:
          Name:
            NameFull: Sergey Vakulenko
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2013
            – D: 21
              M: 03
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9783110266481
            – Type: isbn-electronic
              Value: 9783110268287
          Numbering:
            – Type: volume
              Value: 00004
          Titles:
            – TitleFull: Complexity and Evolution of Dissipative Systems : An Analytical Approach
              Type: main
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