APPLICATION OF THE SMALL PARAMETER METHOD IN NONLINEAR OSCILLATIONS
O Alekseychuk - Sworld-Us Conference proceedings, 2022 - proconference.org
Sworld-Us Conference proceedings, 2022•proconference.org
… Already in the last century, there was a mathematical apparatus that, with proper
development and generalization, could be applicable to the study of nonlinear oscillations,
in any case, for oscillations close enough to linear ones. Sufficiently close to linear
oscillations are usually called oscillations for which the corresponding differential equation,
although it is nonlinear, contains some parameter ε included in this equation so that when
this parameter is equal to zero, the nonlinear differential equation degenerates into a linear …
development and generalization, could be applicable to the study of nonlinear oscillations,
in any case, for oscillations close enough to linear ones. Sufficiently close to linear
oscillations are usually called oscillations for which the corresponding differential equation,
although it is nonlinear, contains some parameter ε included in this equation so that when
this parameter is equal to zero, the nonlinear differential equation degenerates into a linear …
Abstract
The article is about the motion of a nonlinear material system is considered, which is described by a nonlinear differential equation that is explicitly independent of time. Application of the small parameter method was shown an example, were considered
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