Max-Min Approach to Nonlinear Oscillators

By Ji-Huan He. 2008

194 citations recorded by the source corpus.

This paper suggests a novel method called max-min method. Maximal and minimal solution thresholds of a nonlinear problem can be easily found, and an approximate solution of the nonlinear equation can be easily deduced using He Chengtian’s interpolation, which has millennia history. Application of the method to nonlinear oscillators is systematically illustrated, illustrating examples show the present technology is very convenient and effective.

Subfields: Computational Mechanics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/a840f953cdb37a219eb90521b0bc9e0c2bac1b9a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. G. Domairry
2. Mahmoud Bayat
3. I. Pakar
4. Mohsen Sheikholeslami
5. D. Domiri Ganji

In Modeling and Simulation

1. G. Domairry
2. Mahmoud Bayat
3. I. Pakar

In Numerical Analysis

1. G. Domairry
2. Mahmoud Bayat
3. I. Pakar

Citations in the corpus

• The simpler, the better: Analytical methods for nonlinear oscillators and fractional oscillators (2019, unknown): “The most simple calculation is to set xt 1⁄4 T=N, where T is the period, N is a constant x(2) 1⁄4 2ðFðAÞ FðAcosxtÞÞ A2sin(2)xt xt1⁄4T=N (35)”
• Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: a review (2012, methodology): “The method first was proposed by He [110].”