Modeling Complex Systems

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The essential points of this ?rst chapter are * The de?nition of a complex system * The notion of emergence * The de?nition of a model * The notion of dynamical system This book is about the dynamics of complex systems. Roughly speaking, a system is…

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    Om Modeling Complex Systems

    The essential points of this ?rst chapter are * The de?nition of a complex system * The notion of emergence * The de?nition of a model * The notion of dynamical system This book is about the dynamics of complex systems. Roughly speaking, a system is a collection of interacting elements making up a whole such as, for instance, a mechanical clock. While many systems may be quite complicated, they are not necessarily considered to be complex. Today, most authors agree on the essential properties a system has to possess to be called complex. The ?rst section is devoted to the description of these properties. To interpret the time evolution of a system, scientists build up models, which are simpli?ed mathematical representations of the system. The exact purpose of a model and what its essential features should be is explained in the second section. The mathematical models that will be discussed in this book are dynami- 1 calsystems. A dynamical system is essentially a set of equations whose- lutiondescribesthe evolution,asafunction oftime, ofthe state ofthe system. There exist di?erent types of dynamical systems. Some of them are de?ned in the third section. 1 There is an extensive literature on mathematical modeling. The reader may, for example, consult [11,88,163,233] .

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    Detaljer

    Format
    E-Bok
    Kopisperre
    Teknisk DRM
    Filformat
    PDF
    Utgivelsesår
    2010
    Forlag
    Springer New York
    Språk
    Engelsk
    ISBN
    9781441965622

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