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Stability of relative equilibria. I: Comparison of four methods - MaRDI portal

Stability of relative equilibria. I: Comparison of four methods (Q5935624)

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scientific article; zbMATH DE number 1610773
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Stability of relative equilibria. I: Comparison of four methods
scientific article; zbMATH DE number 1610773

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    Stability of relative equilibria. I: Comparison of four methods (English)
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    3 September 2002
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    The authors discuss the stability of relative equilibria of Hamiltonian systems, and compare four analytical methods: the investigation of stability by linearization, Routh method, energy-momentum method, and reduced energy-momentum method. The study is demonstrated on the example of rotating pendulum.
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    stability of relative equilibria
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    linearization
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    Hamiltonian system with symmetry
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    energy-momentum method
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    Routh method
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    reduced energy-momentum method
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    rotating pendulum
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