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Neimark-Sacker (N-S) bifurcation of oscillator with dry friction in 1:4 strong resonance

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  • School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China

Received date: 2012-03-30

  Revised date: 2012-05-12

  Online published: 2013-01-03

Supported by

the National Natural Science Foundation of China (No. 11172246) and the Fundamental Research Funds for the Central Universities of China (No. SWJTU11ZT15)

Abstract

An oscillator with dry friction under external excitation is considered. The Poincar´e map can be established according to the series solution near equilibrium in the case of 1:4 resonance. Based on the theory of normal forms, the map is reduced into its normal form. It is shown that the Neimark-Sacker (N-S) bifurcations may occour. The theoretical results are verified with the numerical simulations.

Cite this article

Yong GUO;Jian-hua XIE . Neimark-Sacker (N-S) bifurcation of oscillator with dry friction in 1:4 strong resonance[J]. Applied Mathematics and Mechanics, 2013 , 34(1) : 27 -36 . DOI: 10.1007/s10483-013-1650-9

References


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