The simpler, the better: Analytical methods for nonlinear oscillators and fractional oscillators
By Ji-Huan He. Journal of Low Frequency Noise Vibration and Active Control, 2019
210 citations recorded by the source corpus.
In engineering, a fast estimation of the periodic property of a nonlinear oscillator is much needed. This paper reviews some simplest methods for nonlinear oscillators, including He’s frequency formulation, the max-min approach and the homotopy perturbation method. A mathematical insight into He’s frequency formulation is given, and the weighted average is introduced to further improve the estimated accuracy of the frequency. Fractional oscillators are also discussed.
Subfields: Atomic and Molecular Physics, and Optics, Control and Systems Engineering, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/d4cd874c7c594f2807764e548c961f9681cc7fa0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Control and Systems Engineering
In Modeling and Simulation
- Qura Tul Ain
- Ji-Huan He
- A. Sadighi
- D. Domiri Ganji
- Syed Tauseef Mohyud-Din
- Muhammad Aslam Noor
- Mohammad Masoud Javidi
- Jagdev Singh
Citations in the corpus
- New promises and future challenges of fractal calculus: From two-scale thermodynamics to fractal variational principle (2020, methodology): “Before proceeding further, we first give some definitions and theorems on fractal calculus for easy understanding [7, 61-64].”
- The simplest approach to nonlinear oscillators (2019, unknown): “From the SelectedWorks of Ji-Huan He 2019 results-in-physics.pdf Ji-Huan He Available at: https://works.bepress.com/ji_huan_he/105/ Contents lists available at ScienceDirect Results in Physics journal homepage: www.elsevier.com/locate/rinp Microarticle The simplest approach to nonlinear oscillators…”