The Lyapunov exponent, a new methodological concept of unifying different views of complex systems (Q2743200)

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scientific article; zbMATH DE number 1651857
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The Lyapunov exponent, a new methodological concept of unifying different views of complex systems
scientific article; zbMATH DE number 1651857

    Statements

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    26 September 2001
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    Lyapunov exponent
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    Floquet exponent
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    Lyapunov dimension
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    Kolmogorov Sinai entropy
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    causality
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    determinism
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    attractor
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    dynamical stability
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    structural stability
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    topological dimension
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    metric dimension
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    probalistic dimension
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    metric entropy
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    topological entropy
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    The Lyapunov exponent, a new methodological concept of unifying different views of complex systems (English)
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    In this expository book to the history and application of some concepts and notions of the stability and dimension theory of dynamical systems in physics, the author gives a wide collection of well-known results and of many interesting historical remarks (including reprints of original publications). By its presentation, the book addresses mainly to nonmathematicians or to mathematicians with interest in the history of this field.
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