Integrable Systems with Variable Dissipation on the Tangent Bundle of a Sphere

Author:

Shamolin M. V.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference32 articles.

1. M. V. Shamolin, “On the problem of the motion of a body in a resistant medium” [in Russian], Vestn. Mosk. Univ., Ser. I No. 1, 52–58 (1992); English transl.: Mosc. Univ. Math. Bull. 47, No. 1, 4–10 (1992).

2. M. V. Shamolin, Methods of Analysis of Dynamical Systems with Variable Dissipation in Dynamics of Solid Body [in Russian], Ekzamen, Moscow (2007).

3. M. V. Shamolin, “On the integrable case in the 3D dynamics of a solid interacting with a medium” [in Russian], Izv. Akad. Nauk, Mekh. Tverd. Tela No. 2, 65–68 (1997); English transl.: Mech. Solid. 32, No. 2, 55–58 (1997).

4. M. V. Shamolin, “New integrable, in the sense of Jacobi, cases in the dynamics of a rigid body interacting with a medium” [in Russian], Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 5, 627–629 (1999); English transl.: Dokl. Phys. 44, No. 2, 110–113 (1999).

5. M. V. Shamolin, “The case of complete integrability in three-dimensional dynamics of a rigid body interacting with a medium with the inclusion of rotary derivatives of the force moment with respect to the angular velocity” [in Russian], Dokl. Akad. Nauk 403, No. 4, 482–485 (2005); English transl.: Dokl. Phys. 50, No. 8, 414–418 (2005).

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