Frequency-amplitude Relationship of Coupled Anharmonic Oscillators
(0) The frequency-amplitude relationship of coupled anharmonic oscillators is an important problem. Many powerful methods for solving this problem have been proposed. Hes parameter-expanding method is an important one. It holds the advantages of modified Lindstedt-Poincare parameter method and bookkeeping parameter method. The first iteration is enough. It is very effective and convenient and quite accurate to both linear and nonlinear problems. In this paper, Hes parameter-expanding method is applied to coupled anharmonic oscillators. The frequency-amplitude relationship and the first-order approximate solution of the oscillators are obtained respectively. The solution procedure shows that the method is very powerful and convenient to nonlinear oscillator. This method has great potential and can be applied to other types of nonlinear oscillator problems.
Frequency Amplitude Anharmonic oscillator Parameter-expanding method Approximate solution
Zheng Biao Li Wei Hong Zhu
College of Mathematics and Information Science, Qujing Normal University,Qujing, Yunnan 655011, Chin Research Center of Educational Science, Qujing Normal University,Qujing, Yunnan 655011, China
国际会议
上海
英文
271-274
2011-10-21（万方平台首次上网日期，不代表论文的发表时间）