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Running Lyapunov exponents and the conditions for the occurrence of chaos (Q1802623)

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scientific article; zbMATH DE number 205043
Language Label Description Also known as
English
Running Lyapunov exponents and the conditions for the occurrence of chaos
scientific article; zbMATH DE number 205043

    Statements

    title
    Running Lyapunov exponents and the conditions for the occurrence of chaos (English)
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    author
    D. M. Vavriv
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    Vladimir B. Ryabov
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    publication date
    11 August 1993
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    review text
    It is shown how a local analysis of the dynamical system in terms of so- called current Lyapunov exponents gives necessary conditions for stochastic instability of the system. This approach is applied to two concrete physical systems: the quasiperiodically forced weakly nonlinear oscillator and the quantum magnetometer (SQUID).
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    zbMATH Keywords
    chaos
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    dynamical system
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    current Lyapunov exponents
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    stochastic instability
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    weakly nonlinear oscillator
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    quantum magnetometer
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    Identifiers

    zbMATH DE Number
    205043
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