On the stability of invariant manifolds of mechanical systems (Q1070842)

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scientific article; zbMATH DE number 3938621
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English
On the stability of invariant manifolds of mechanical systems
scientific article; zbMATH DE number 3938621

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    On the stability of invariant manifolds of mechanical systems (English)
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    1984
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    The author considers the problems of the separation and qualitative investigation of invariant manifolds of the steady motions of autonomous differential equations of mechanical systems. Sufficient conditions for stability using the first integrals of the problem as the Lyapunov functions are given.
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    Lyapunov's second method
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    Kovalevskaya top
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    separation
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    investigation of invariant manifolds
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    steady motions
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    Sufficient conditions
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    first integrals
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