Poincare-Chetaev Bifurcation Diagrams in the Problem of Motion of an Inhomogeneous Dynamically and Geometrically Symmetric Ellipsoid on a Smooth Plane

P. A. Elkin

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Poincare-Chetaev Bifurcation Diagrams in the Problem of Motion of an Inhomogeneous Dynamically and Geometrically Symmetric Ellipsoid on a Smooth Plane

机译：光滑平面上非均匀动力学和几何对称椭球运动问题的庞加莱-切塔耶夫分叉图

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摘要

The existence, stability, and bifurcation of steady motions of an inhomogeneous dynamically and geometrically symmetric ellipsoid is considered. The mass center of the ellipsoid is shifted and located on its symmetry axis. The ellipsoid moves on a perfectly smooth horizontal plane.

机译：考虑了不均匀的动态和几何对称椭球体的稳态运动的存在，稳定性和分叉性。椭球的质心移动并位于其对称轴上。椭球在完美平滑的水平面上移动。

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《Moscow University Mechanics Bulletin》 |2013年第4期|106-109|共4页
作者
P. A. Elkin;
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Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119899, Russia;

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2. Nonexistence of Liouvillian Solutions in the Problem of Motion of a Rotationally Symmetric Ellipsoid on a Perfectly Rough Plane [J] . A. S. Kuleshov, M. O. Itskovich Vestnik, St. Petersburg University. Mathematics . 2017,第2期

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Poincare-Chetaev Bifurcation Diagrams in the Problem of Motion of an Inhomogeneous Dynamically and Geometrically Symmetric Ellipsoid on a Smooth Plane

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