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- W2783399600 abstract "We consider a special situation of the Hess-Appelrot case of the Euler-Poisson system which describes the dynamics of a rigid body about a fixed point. One has an equilibrium point of saddle type with coinciding stable and unstable invariant 2-dimensional separatrices. We show rigorously that, after a suitable perturbation of the Hess-Appelrot case, the separatrix connection is split such that only finite number of 1-dimensional homoclinic trajectories remain and that such situation leads to a chaotic dynamics with positive entropy and to the non-existence of any additional first integral." @default.
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- W2783399600 date "2018-01-01" @default.
- W2783399600 modified "2023-10-17" @default.
- W2783399600 title "The Hess-Appelrot system. Ⅲ. Splitting of separatrices and chaos" @default.
- W2783399600 doi "https://doi.org/10.3934/dcds.2018079" @default.
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