Open AccessPhysics of nonlinear oscillations with nonlocal variables
Author(s) -
Olga Volkova,
M H Khamis Hassan,
T. F. Kamalov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2056/1/012010
Subject(s) - nonlinear system , pendulum , physics , nonlinear oscillations , point (geometry) , classical mechanics , mathematics , mathematical analysis , contrast (vision) , geometry , quantum mechanics , optics
In cases where physical processes cannot be described by linear equations, and nonlinear equations are difficult to solve mathematically, we have to use approximate solutions to such problems. One such example is the description of the Kapitsa pendulum, which is a pendulum with a vibrating suspension point. In contrast to the previously known methods of describing such a problem, in this paper we propose to use additional variables in the form of higher derivatives, which allows us to obtain corrections that give a more detailed contribution to the description of this problem.