Results 11 to 20 of about 69 (39)

Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods

, 2011
We study the stability of the equilibrium points of a skew product system. We analyze the possibility to construct a Lyapunov function using a set of conserved quantities and solving an algebraic system.
Aeyels, Birtea, Birtea, Comănescu, Gavrilov, Guirao Juan, Marsden, Puta, Rouche, Vera, Vera, Wittenburg   +11 more
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Existence and Stability of Symmetric Periodic Simultaneous Binary Collision Orbits in the Planar Pairwise Symmetric Four-Body Problem

, 2011
We extend our previous analytic existence of a symmetric periodic simultaneous binary collision orbit in a regularized fully symmetric equal mass four-body problem to the analytic existence of a symmetric periodic simultaneous binary collision orbit in a
A. Chenciner, A. Sivasankaran, A. Venturelli, C. Moore, C. Simó, Duokui Yan, G. Contopoulos, G.E. Roberts, G.E. Roberts, J. Hietarinta, J. Schubart, K.R. Meyer, K.R. Meyer, L.F. Bakker, Lennard F. Bakker, M. Hénon, M. Sekiguchi, M.M. Saito, M.M. Saito, M.M. Saito, R. Martinez, R. Moeckel, S.J. Aarseth, Skyler Simmons, T. Ouyang, T. Ouyang, Tiancheng Ouyang, W.L. Sweatman, W.L. Sweatman, X. Hu, X. Hu   +30 more
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Relative periodic orbits in point vortex systems

, 2004
We give a method to determine relative periodic orbits in point vortex systems: it consists mainly into perform a symplectic reduction on a fixed point submanifold in order to obtain a two-dimensional reduced phase space.
Aref H, Aref H, Aref H, F Laurent-Polz, Helmholz H, Laurent-Polz F, Laurent-Polz F, Laurent-Polz F, Laurent-Polz F, Marsden J, Ortega J-P, Ortega J-P, Palais R, Pekarsky S   +13 more
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The reduction on the linear stability of elliptic Euler-Moulton solutions of the n-body problem to those of 3-body problems

, 2016
In this paper, we consider the elliptic collinear solutions of the classical $n$-body problem, where the $n$ bodies always stay on a straight line, and each of them moves on its own elliptic orbit with the same eccentricity.
Long, Yiming, Zhou, Qinglong
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Stability problem for the torque-free gyrostat by using algebraic methods [PDF]

, 1998
We apply an algebraic method for studying the stability with respect to a set of conserved quantities for the problem of torque-free gyrostat. If the conditions of this algebraic method are not fulfilled then the Lyapunov stability cannot be decided ...
C Jeynes, E. Szilàgy, H Anderson, J Ziegler, J Ziegler, L. R. Doolittle, M Mayer, R Behrisch, R Fischer, R Fischer, W Chu   +10 more
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Point vortices on the sphere: a case with opposite vorticities

, 2001
We study systems formed of 2N point vortices on a sphere with N vortices of strength +1 and N vortices of strength -1. In this case, the Hamiltonian is conserved by the symmetry which exchanges the positive vortices with the negative vortices.
, Aref H, Aref H, Bogomolov V, Chossat P, F Laurent-Polz, Glasser L, Golubitsky M, Helmholtz H, Kidambi R, Lerman E, Marsden J, Marsden J, Marsden J, Michel L, Montaldi J, Montaldi J, Ortega J-P, Palais R, Patrick G, Polvani L, Saffman P, Serre J-P, Simo J, Tokieda T Tourbillons dansants   +24 more
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Morse index and linear stability of the Lagrangian circular orbit in a three-body-type problem via index theory

, 2015
It is well known that the linear stability of the Lagrangian elliptic solutions in the classical planar three-body problem depends on a mass parameter $\beta$ and on the eccentricity $e$ of the orbit.
Barutello, Vivina, Jadanza, Riccardo D., Portaluri, Alessandro   +2 more
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Some stability results on nearly–integrable systems (with dissipation) [PDF]

, 2012
The stability of nearly–integrable systems can be studied over different time scales and with different techniques. In this paper we review some classical methods, like the averaging technique, the classical perturbation theory, KAM theorem and ...
Celletti, Alessandra
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Конструкторсько-технологічне забезпечення виготовлення деталі "Корпус опори" [PDF]

, 2023
до дипломного проєкту на тему «Конструкторсько-технологічне забезпечення виготовлення деталі «Корпус опори», яка включає 97 аркушів формату А4, містить 29 рисунків, 12 таблиць.
Ціпан, Максим Сергійович
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Nonlinear Stability of Riemann Ellipsoids withSymmetric Configurations [PDF]

, 2018
Using modern differential geometric methods, we study the relative equilibria for Dirichlet's model of a self-gravitating fluid mass having at least two equal axes.
Rodríguez-Olmos, Miguel, Sousa-Dias, M.
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