Integrable nonconservative dynamical systems on the tangent bundle of the multidimensional sphere
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Publication:311207
DOI10.1134/S0012266116060033zbMath1353.70040OpenAlexW2472857284MaRDI QIDQ311207
Publication date: 29 September 2016
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266116060033
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Integrable cases of motion in rigid body dynamics (70E40)
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Cites Work
- New cases of full integrability in dynamics of a dynamically symmetric four-dimensional solid in a nonconservative field
- Body motion in a resisting medium
- Comparison of complete integrability cases in dynamics of a two-, three-, and four-dimensional rigid body in a nonconservative field
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- Complete list of first integrals for dynamic equations of motion of a solid body in a resisting medium with consideration of linear damping
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- Integrability and non-integrability in Hamiltonian mechanics
- A completely integrable case in the dynamics of a four-dimensional rigid body in a non-conservative field
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- A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere
- An integrable case of dynamical equations on $ so(4)\times\mathbb R^4$
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