Local Activity Principle: The Cause Of Complexity And Symmetry Breaking

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Title: Local Activity Principle: The Cause Of Complexity And Symmetry Breaking
Description: The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reaction-diffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe. Applications are considered in economic, financial, and social systems with the emergence of equilibrium states, symmetry breaking at critical points of phase transitions and risky acting at the edge of chaos.
Authors: Klaus Mainzer, Leon O Chua
Resource Type: eBook.
Subjects: Broken symmetry (Physics), Mathematical physics, Computational complexity, Physics
Categories: MATHEMATICS / Complex Analysis, MATHEMATICS / Linear & Nonlinear Programming, SCIENCE / Physics / Mathematical & Computational
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
  – Type: ebook-epub
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 575390
RelevancyScore: 1051
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1050.81640625
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  Data: Local Activity Principle: The Cause Of Complexity And Symmetry Breaking
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  Data: The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reaction-diffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe. Applications are considered in economic, financial, and social systems with the emergence of equilibrium states, symmetry breaking at critical points of phase transitions and risky acting at the edge of chaos.
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  Data: <searchLink fieldCode="AR" term="%22Klaus+Mainzer%22">Klaus Mainzer</searchLink><br /><searchLink fieldCode="AR" term="%22Leon+O+Chua%22">Leon O Chua</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Broken+symmetry+%28Physics%29%22">Broken symmetry (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+physics%22">Mathematical physics</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+complexity%22">Computational complexity</searchLink><br /><searchLink fieldCode="DE" term="%22Physics%22">Physics</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 511.352
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Broken symmetry (Physics)
        Type: general
      – SubjectFull: Mathematical physics
        Type: general
      – SubjectFull: Computational complexity
        Type: general
      – SubjectFull: Physics
        Type: general
    Titles:
      – TitleFull: Local Activity Principle: The Cause Of Complexity And Symmetry Breaking
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Klaus Mainzer
      – PersonEntity:
          Name:
            NameFull: Leon O Chua
      – PersonEntity:
          Name:
            NameFull: Klaus Mainzer
      – PersonEntity:
          Name:
            NameFull: Leon O Chua
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2013
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9781908977090
            – Type: isbn-electronic
              Value: 9781908977106
            – Type: isbn-electronic
              Value: 9781908977113
          Titles:
            – TitleFull: Local Activity Principle: The Cause Of Complexity And Symmetry Breaking
              Type: main
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