Stability and chaos of a damped satellite partially filled with liquid

Modeling of chaotic motion of gyrostats in resistant environment on the base of dynamical systems with strange attractors

“…The study of nonlinear dynamics has brought new excitement to one of the oldest fields of science and, certainly, mechanics. So, many papers and, for example, works [3,11,12] describe chaotic motion of rigid body and gyrostats as modes corresponded to strange attractors in phase space. The paper [4] also contains several interesting and important chaotic dynamical systems with strange attractors.…”

“…Despite classical analytical research results and exact solutions this problem is still far from complete due to the existence of chaos phenomena [1][2][3][4][5][6][7][8][9][10][11][12][13]. Among the basic directions of modern research within the framework of the indicated problem it is possible to highlight the following points: deriving exact and approximated analytical and asymptotic solutions, investigation into stability of motion, the analysis of motion under an influence of external regular and stochastic disturbance, research into dynamic chaos and study of non-autonomous systems with variable parameters.…”

“…The equations of variable mass coaxial bodies system were developed in papers [10] where also the attitude motion of coaxial bodies system and double rotation spacecraft with time-dependent moments of inertia were analyzed on the base of special method of phase trajectory curvature analysis. The results [7][8][9][10][11][12] can be used for the analysis of attitude motion of a gyrostat-satellites and dual-spin spacecraft including motion with an active solid-propellant rocket engine.…”

“…Applications of dynamical systems with chaotic behavior and strange attractors are seen in many areas of science, including space-rocket systems [7][8][9][10][11][12]. Lorenz and Rössler systems [1,2] represent classical dynamical systems with strange attractors.…”

Bifurcation of elastic tank-liquid coupled sloshing system

“…The sloshing problem of liquid-solid coupling systems and its optimal control are always the core issues in the overall designing of aerospace vehicles [1][2][3] . So far, they are widely studied by aerospace mechanics scholars at home and abroad [4][5] . The damage accidents caused by liquid sloshing make the problem need more research.…”