The comprehensive formularization of the frequency–amplitude formula is the main interest
in this work to cover higher powers of the restoring force which are not limited to cubic …

The frequency-amplitude relationship is pivotal in understanding oscillatory systems,
dictating their dynamic behaviors and responses. This paper delves into the intricacies of the …

Purpose A group of classical oscillators of high nonlinearity, which cannot be completely
analyzed, is addressed by introducing a novel technique. The main objective of the current …

Immediate frequency estimation of a damped nonlinear oscillator is very much needed in
engineering. A developed He's frequency formula is derived to cover the dam** nonlinear …

The nonlinear equations of motion such as the Duffing oscillator equation and its family are
seldom addressed in intermediate instruction in classical dynamics; this one is problematic …

Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a
variety of “unusual” physical phenomena by means of nonlinear differential equations …

Two-dimensional resonant liquid sloshing in a rectangular tank equipped with a central slat-
type screen is studied theoretically and experimentally with focus on nonsmall solidity ratios …

Measurements on plasma focus ion beams include various advanced techniques producing
a variety of data which has yet to produce benchmark numbers [A Bernard et al., J. Mosc …

The present study aims to examine the movement of a simple pendulum (SP) that is
connected by a lightweight spring and connected with a rotating wheel. The motivation …

The acceleration, velocity, and displacement of a glider on an air track undergoing
oscillatory motion subject to viscous and dry frictional dam** are investigated using an …