On the construction of Lyapunov functions with computer assistance (Q515790)

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On the construction of Lyapunov functions with computer assistance
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    On the construction of Lyapunov functions with computer assistance (English)
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    16 March 2017
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    The authors establish systematic procedures for constructing Lyapunov functions around fixed points for both continuous and discrete dynamical systems in given domains with computer assistance. To demonstrate the applicability of the procedures they present several examples of Lyapunov functions constructed with computer assistance. Numerical examples were given for Poincaré maps.
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    Lyapunov functions
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    computer assisted proof and construction
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    Poincaré maps
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    and stability
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