Results 11 to 20 of about 74 (40)

Development of the ring ZhYTsD 712442.021 production process including the study of ring workpieces turning process [PDF]

open access: yes, 2021
У кваліфікаційній роботі розроблено технологію виготовлення кільця ЖИЦД 712442.021 та спеціальні верстатні пристрої для її реалізації. Прийняті в кваліфікаційній роботі інженерні рішення дали змогу підвищити якість виготовлення деталі і зменшити ...
Elkenani, Moustafa Mohamed Mahmoud Hassan   +1 more
core  

A note on stability of the vertical uniform rotations of the heavy top

open access: yes, 2012
We prove that the stability problem of a vertical uniform rotation of a heavy top is completely solved by using the linearization method and the conserved quantities of the differential system which describe the rotation of the heavy ...
Comanescu, Dan
core   +1 more source

Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates [PDF]

open access: yes, 2021
In the framework of nonlinear stability of elliptic equilibria in Hamiltonian systems with n degrees of freedom we provide a criterion to obtain a type of formal stability, called Lie stability.
Cárcamo Díaz, Daniela Jacqueline   +3 more
core   +1 more source

Existence and Stability of Symmetric Periodic Simultaneous Binary Collision Orbits in the Planar Pairwise Symmetric Four-Body Problem

open access: yes, 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   +30 more
core   +1 more source

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

open access: yes, 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   +11 more
core   +1 more source

Relative periodic orbits in point vortex systems

open access: yes, 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   +13 more
core   +2 more sources

The reduction on the linear stability of elliptic Euler-Moulton solutions of the n-body problem to those of 3-body problems

open access: yes, 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
core   +1 more source

Point vortices on the sphere: a case with opposite vorticities

open access: yes, 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.
  +24 more
core   +1 more source

Morse index and linear stability of the Lagrangian circular orbit in a three-body-type problem via index theory

open access: yes, 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   +2 more
core   +1 more source

Some stability results on nearly–integrable systems (with dissipation) [PDF]

open access: yes, 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
core   +3 more sources

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