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《Journal of Hubei University for Nationalities(Natural Science Edition)》 2018-01
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A Method to Calculate the Limit Cycle in A Three-dimension Autonomic System

MENG Xiyan;DONG Wenhui;WANG Hailing;School of Human Science,Enshi Polytechnic;School of Science,Hubei University for Nationalities;  
In this paper a new method is used to calculate the limit cycle in a three-dimension autonomic system.This new method makes advantage of the modified idea of Lindstedt-Poincare,introduces a new nonlinear parameter variation and appropriately expands the frequency of the limit cycle.Consequently,we can get the approximate analytical expression of the limit cycle in the nonlinear autonomic system.The vibrating amplitude and frequency of the limit cycle is accordingly determined.Choosing a three-dimension system as an example,we change the control parameter's value and mainly discuss the coincident degree of the analytical solution from this paper's method and the result of numerical modeling method of Runge-Kutta.
【Fund】: 国家自然科学基金青年基金项目(11701163)
【CateGory Index】: O19
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