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Nonintegrability of the N-center problem for \(N>2\)

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Publication:1108084
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zbMath0653.70016MaRDI QIDQ1108084

Sergey V. Bolotin

Publication date: 1984

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)


zbMATH Keywords

Maupertuis' principlecases of Kepler and Eulernonnegative energytopologic considerations


Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Dynamical systems and ergodic theory (37-XX)


Related Items (5)

Unnamed Item ⋮ Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom ⋮ Symbolic dynamics: from the \(N\)-centre to the \((N+1)\)-body problem, a preliminary study ⋮ Chaotic quasi-collision trajectories in the 3-centre problem ⋮ Structural reliability sensitivities under nonstationary random vibrations







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