有阻力介质中相互作用体链运动的周期规律

D. Knyazkov, T. Figurina
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引用次数: 1

摘要

考虑在电阻介质中沿直线运动的物体系统。物体之间的距离周期性地变化。研究了所有物体的速度也是周期性的系统的周期运动。结果表明,对于一类广泛的介质阻力定律,其周期运动状态是存在的,是唯一的,并且是指数稳定的。
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Periodic Regimes of Motion of a Chain of Interacting Bodies in a Medium with Resistance
A system of bodies moving along a straight line in a resistive medium is considered. Distances between the bodies change periodically. Periodic regimes of motion of the system in which the velocities of all bodies are also periodic are studied. It is shown that for a wide class of laws of resistance of a medium, the periodic regime of motion exists, is unique, and is exponentially stable.
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