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LOCAL FRACTIONAL DUFFING EQUATION: Its Periodic Property and its Application to Energy Harvesting.

• Authors : Yong-Ju YANG¹ ; Guo-Li HAN² ; Liu-Qing HUA¹

• Source: Thermal Science. 2024, Vol. 28 Issue 3A, p2135-2142. 8p.

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Solution to a Damped Duffing Equation Using He’s Frequency Approach

• Authors : Alvaro H. Salas; Gilder Cieza Altamirano; Manuel Jesús Sánchez Chero

Subjects: Elliptic function; Technology; Science

• Source: ScientificWorldJournalThe Scientific World Journal, Vol 2022 (2022)

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An instrumental insight for a periodic solution of a fractal Mathieu–Duffing equation.

• Authors : El-Dib, Yusry O¹ (AUTHOR) ; Elgazery, Nasser S¹ (AUTHOR); Alyousef, Haifa A² (AUTHOR)

• Source: Journal of Low Frequency Noise, Vibration & Active Control. Dec2023, Vol. 42 Issue 4, p1837-1853. 17p.

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A New Modification of The HPM for The Duffing Equation With High Nonlinearity

• Authors : Khdir, Ahmed

Subjects: Homotopy perturbation method; Chebyshev spectral method; Duffing equation

• Source: JOURNAL OF ADVANCES IN PHYSICS; Vol. 2 No. 2; 124-133 ; 2347-3487

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Analytical accurate solutions of nonlinear oscillator systems via coupled homotopy-variational approach

• Authors : M. Abul-Ez; N. M. Farea; G.M. Ismail

Subjects: Duffing equation; Nonlinear stiffnesses; 0103 physical sciences

• Source: Alexandria Engineering Journal, Vol 61, Iss 7, Pp 5051-5058 (2022)

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A heuristic approach to the prediction of a periodic solution for a damping nonlinear oscillator with the non-perturbative technique

• Authors : Yusry O. El‐Dib; Nasser S. Elgazery; Haifa A. Alyousef

Subjects: rank upgrade technique; Artificial intelligence; Materials Science (miscellaneous)

• Source: Frontiers in Physics, Vol 11 (2023)

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Periodic Solution and Stability Behavior for Nonlinear Oscillator Having a Cubic Nonlinearity Time-Delayed

• Authors : Yusry O. El-Dib

Subjects: damping delay oscillator Duffing equation; multiple scales method; Homotopy perturbation method

• Source: International Annals of Science; Vol. 5 No. 1 (2018); 12-25

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The Equivalent Linearization Method with a Weighted Averaging for Analyzing of Nonlinear Vibrating Systems

• Authors : Nguyen Dong Anh; Ninh Quang Hai; Dang Van Hieu

Subjects: nonlinear oscillator; Artificial intelligence; weighted averaging

• Source: Latin American Journal of Solids and Structures, Vol 14, Iss 9, Pp 1723-1740Latin American Journal of Solids and Structures v.14 n.9 2017Latin American journal of solids and structures

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New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions

• Authors : F. Z. Geng; Minggen Cui

Subjects: Computational Mathematics; Duffing equation; Applied Mathematics

• Source: Journal of Computational and Applied Mathematics. 233:165-172

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Periodic Solution and Stability Behavior for Nonlinear Oscillator Having a Cubic Nonlinearity Time-Delayed

• Authors : El-Dib, Yusry Osman

Subjects: Homotopy perturbation method; multiple scales method; stability analysis

• Source: International Annals of Science; Vol. 5 No. 1 (2018); 12-25 ; 2456-7132 ; 10.21467/ias.5.1.2018

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