An innovative technique to solve a fractal damping Duffing-jerk oscillator

DOI10.1088/1572-9494/acc646zbMath1519.70021OpenAlexW4353080698MaRDI QIDQ6161708

Unnamed Author, Haifa A. Alyousef, Yusry O. El-Dib, Nasser S. Elgazery

Publication date: 27 June 2023

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1572-9494/acc646

zbMATH Keywords

stability analysisdamping nonlinear fractal systemnon-perturbative approachfractal Duffing-jerk vibrationmodification of He's fractal derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear resonances for nonlinear problems in mechanics (70K30) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• On the possibility of the jerk derivative in electrical circuits
• A gecko-like fractal receptor of a three-dimensional printing technology: a fractal oscillator
• Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping
• The third-order differential equation arising in thin-film flows and relevant to Tanner's law
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method for bifurcation of nonlinear problems
• Homotopy perturbation technique
• Two-scale mathematical model for tsunami wave
• An analysis of time-fractional heat transfer problem using two-scale approach
• The damping Helmholtz-Rayleigh-Duffing oscillator with the non-perturbative approach
• On a new generalized local fractal derivative operator
• Fractal dimensions in fluid dynamics and their effects on the Rayleigh problem, the Burger's vortex and the Kelvin-Helmholtz instability
• On a strong minimum condition of a fractal variational principle
• Free variable mass nonlocal systems, jerks, and snaps, and their implications in rotating fluids in rockets
• A novel pattern in a class of fractal models with the non-perturbative approach
• \(\mathscr{ABC}\) fractional derivative for Varicella-Zoster virus using two-scale fractal dimension approach with vaccination
• An efficient approach to converting the damping fractal models to the traditional system
• FRACTAL OSCILLATION AND ITS FREQUENCY-AMPLITUDE PROPERTY
• A NEW FRACTAL TRANSFORM FREQUENCY FORMULATION FOR FRACTAL NONLINEAR OSCILLATORS
• TWO-SCALE FRACTAL THEORY FOR THE POPULATION DYNAMICS
• NOVEL APPROACH FOR FRACTAL NONLINEAR OSCILLATORS WITH DISCONTINUITIES BY FOURIER SERIES
• A TUTORIAL INTRODUCTION TO THE TWO-SCALE FRACTAL CALCULUS AND ITS APPLICATION TO THE FRACTAL ZHIBER–SHABAT OSCILLATOR
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• He's frequency formulation for fractal nonlinear oscillator arising in a microgravity space
• The simplest approach to solving the cubic nonlinear jerk oscillator with the non‐perturbative method
• An efficient approach to solving fractional Van der Pol–Duffing jerk oscillator
• Modeling of combustion and turbulent jet diffusion flames in fractal dimensions
• The frequency estimation for non‐conservative nonlinear oscillation

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