Стохастичність і детермінованість механічних систем

The article is devoted to stochasticity and determinicity in mechanical systems: it is shown how a mechanical system can behave in a random way which contradicts the determinicity principle of classical mechanics. A mechanical system is considered, a dumbbell which after being tossed moves in the vertical plane and bounces off the horizontal plane until it stops, one of its tips pointing to the positive direction. On the one hand, the initial conditions uniquely define the dumbbell orientation on the axis, on the other hand, the experiment shows that this is not true. The stochastic nature of the dumbbell behavior is caused by the boundedness from below of measurement device errors and locally “lined” structure of the final state diagram.

Publication Details

Journal
Scientific periodicals of Ukraine
Published
2025-10-28
Primary Topic
Experimental and Theoretical Physics Studies
Type
article
Field-Weighted Citation Impact
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article

Стохастичність і детермінованість механічних систем

Scientific periodicals of Ukraine
Experimental and Theoretical Physics Studies
article

Стохастичність і детермінованість механічних систем

article en

Abstract

The article is devoted to stochasticity and determinicity in mechanical systems: it is shown how a mechanical system can behave in a random way which contradicts the determinicity principle of classical mechanics. A mechanical system is considered, a dumbbell which after being tossed moves in the vertical plane and bounces off the horizontal plane until it stops, one of its tips pointing to the positive direction. On the one hand, the initial conditions uniquely define the dumbbell orientation on the axis, on the other hand, the experiment shows that this is not true. The stochastic nature of the dumbbell behavior is caused by the boundedness from below of measurement device errors and locally “lined” structure of the final state diagram.

Scientific periodicals of Ukraine
Openalex Percentile: Top 36%
Experimental and Theoretical Physics Studies
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Стохастичність і детермінованість механічних систем · Scientific periodicals of Ukraine (2025) | TGRS Research Map | TGRS