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Non-integrability of the collinear three-body problem

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Publication:536134
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DOI10.3934/DCDS.2011.30.299zbMath1283.70009OpenAlexW2321722978MaRDI QIDQ536134

Mitsuru Shibayama

Publication date: 16 May 2011

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2011.30.299


zbMATH Keywords

symbolic dynamicscollision manifoldZiglin's analysis


Mathematics Subject Classification ID

Three-body problems (70F07) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Collisions in celestial mechanics, regularization (70F16)


Related Items (1)

Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up technique of singularities







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