Unifying the hyperbolic and spherical \(2\)-body problem with biquaternions
DOI10.1134/s1560354723060011arXiv2012.12166MaRDI QIDQ6124751
Publication date: 2 April 2024
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12166
stabilityreductionrelative equilibriumcomplex sphereholomorphic Hamiltonian systemhyperbolic system complexification
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Hamiltonian and Lagrangian mechanics (70H99) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)
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