[图书][B] Integrability and nonintegrability of dynamical systems

A Goriely - 2001 - books.google.com
This invaluable book examines qualitative and quantitative methods for nonlinear differential
equations, as well as integrability and nonintegrability theory. Starting from the idea of a …

[PDF][PDF] Возмущенные и управляемые вращения твердого тела

ЛД Акуленко, ДД Лещенко, АЛ Рачинская… - 2013 - researchgate.net
Естественное развитие исследований задач динамики и управления движением
твердых тел вокруг неподвижной точки состоит в учете того обстоятельства, что тела …

New integrable problems of motion of a rigid body with a particle oscillating or bouncing in it

HM Yehia - Mechanics Research Communications, 1997 - Elsevier
Some qualitative aspects of the problem of motion about a fixed point of a rigid body with a
particle moving in it in a prescibed (sinusoidal) way was treated in [1–3]. The mechanical …

Equivalent mechanical systems with cyclic coordinates and new integrable problems

HM Yehia - Zeitschrift für angewandte Mathematik und Physik …, 2001 - Springer
The general problem of motion of a holonomic conservative mechanical system with cyclic
degrees of freedom is considered. A method is introduced to obtain generalizations of such …

Controllability of Poisson systems

P Birtea, M Puta, TS Ratiu - SIAM journal on control and optimization, 2004 - SIAM
Sufficient conditions for the controllability of affine nonlinear control systems on Poisson
manifolds are given. The important special case when the Poisson manifold is the reduced …

[PDF][PDF] Збурені рухи твердого тіла з рухомою масою в середовищі з опором

ДД Лещенко, ТО Козаченко - 2023 - researchgate.net
Досліджуються різні випадки руху твердого тіла з внутрішніми степенями вільності.
Розглянуто рухи тіла, яке містить лінійні пружні та дисипативні елементи. Зокрема …

Non-integrability of a system from the rigid body dynamics

O Christov - Annual of Sofia University St. Kliment Ohridski …, 2022 - stipendii.uni-sofia.bg
We study the complete integrability of a system describing the motion of a rigid body with a
fixed point and a particle oscillating in it in the absence of external forces. Using the Ziglin …

FROM RIGID BODY DYNAMICS

O CHRISTOV - researchgate.net
MECHANICS Page 1 Journal of Theoretical and Applied Mechanics Sofia 1996, Year XXVI
No 3 (GENERAL MECHANICS ON THE CHAOTIC BEHAVIOUR (OF A SYSTEM FROM RIGID …