Results 1 to 10 of about 13,492 (117)
Homotopy perturbation method for nonlinear oscillators with coordinate-dependent mass
Results in Physics, 2018 Nonlinear oscillators with no linear term or negative linear term are difficult to be solved analytically. This paper shows that the homotopy perturbation method can be effectively applied to such kinds of nonlinear oscillator by the parameter expansion ...
Yue Wu, Ji-Huan He
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The simplest approach to nonlinear oscillators
Results in Physics, 2019 This paper gives the simplest approach to the cubic-quintic Duffing equation (M.S.H. Chowdhury et al., Results in Physics 7(2017): 3962–3967), providing an extremely fast and relatively accurate estimation of the frequency of a nonlinear conservative ...
Ji-Huan He
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The modified Lindstedt–Poincare method for solving quadratic nonlinear oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2021 Recently, an analytical solution of a quadratic nonlinear oscillator has been presented based on the harmonic balance method. By introducing a small parameter, a set of nonlinear algebraic equations have been solved which usually appear among unknown ...
Ismot A Yeasmin, MS Rahman, MS Alam
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An Effective Solution of the Cube-Root Truly Nonlinear Oscillator: Extended Iteration Procedure
International Journal of Differential Equations, 2021 The cube-root truly nonlinear oscillator and the inverse cube-root truly nonlinear oscillator are the most meaningful and classical nonlinear ordinary differential equations on behalf of its various applications in science and engineering.
B. M. Ikramul Haque, M. M. Ayub Hossain
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A Simple Frequency Formulation for the Tangent Oscillator
Axioms, 2021 The frequency of a nonlinear vibration system is nonlinearly related to its amplitude, and this relationship is critical in the design of a packaging system and a microelectromechanical system (MEMS).
Ji-Huan He +3 more
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Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanics
Journal of Low Frequency Noise, Vibration and Active Control, 2023 The current paper presents the first treatment to obtain the solution of a complex Helmholtz–Duffing oscillator. This model has described the elevation of the surface waves in fluid mechanics.
Yusry O El-Dib
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Quasi-static quintication method for periodic solution of strong nonlinear oscillators
Scientific African, 2021 In this paper, a quasi-static quintication method for approximate periodic solution of strong nonlinear oscillators was presented. The basic idea of the method is to replace the original nonlinear oscillator with an equivalent cubic-quintic oscillator ...
Akuro Big-Alabo +2 more
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Homotopy Perturbation Method for the Fractal Toda Oscillator
Fractal and Fractional, 2021 The fractal Toda oscillator with an exponentially nonlinear term is extremely difficult to solve; Elias-Zuniga et al. (2020) suggested the equivalent power-form method.
Ji-Huan He +2 more
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Highly nonlinear dipolar exciton-polaritons in bilayer MoS2
Nature Communications, 2022 Dipolar excitons enable large nonlinear interaction but are usually hampered by their weak oscillator strength. Here, the authors demonstrate the strong light-matter coupling of interlayer dipolar excitons having unusually large oscillator strength in ...
Biswajit Datta +7 more
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Two Modifications of the Homotopy Perturbation Method for Nonlinear Oscillators [PDF]
Journal of Applied and Computational Mechanics, 2020 Nonlinear vibration arises in engineering and physics, and the periodic motion of these nonlinear oscillatory systems have rich dynamics. An estimation of amplitude-frequency relationship of a nonlinear oscillator is much needed, therefore, well-known ...
Naveed Anjum, Ji-Huan He
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