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Hopf Bifurcation of Rayleigh Model with Delay

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Information Computing and Applications (ICICA 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 391))

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Abstract

Hopf bifurcation and stability of Rayleigh model with delay r as parameter have been studied. Analyzing the stability of zero solution, the branch value of Hopf bifurcation has been obtained. Secondly, using theories of normal form and center manifold acquire the calculation formula of the direction of the bifurcation and the stability of the periodic solution. Finally, some numerical simulations are carried out by using MATLAB software, and the results are consistent with analysis results.

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Author information

Authors and Affiliations

  1. College of Science, Changchun University of Science and Technology, ChangChun, JiLin, China

    Yan Sun & Wenlian Ma

Authors
  1. Yan Sun
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  2. Wenlian Ma
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Editor information

Editors and Affiliations

  1. Shanghai Jiao Tong University, 800 Dongchuan Road, Dianxinqunlou 1-401, 200240, Shanghai, China

    Yuhang Yang

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, 639798, Singapore, Singapore

    Maode Ma

  3. College of Science, Hebei United University, 063009, Tangshan, Hebei, China

    Baoxiang Liu

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Sun, Y., Ma, W. (2013). Hopf Bifurcation of Rayleigh Model with Delay. In: Yang, Y., Ma, M., Liu, B. (eds) Information Computing and Applications. ICICA 2013. Communications in Computer and Information Science, vol 391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53932-9_58

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  • DOI: https://doi.org/10.1007/978-3-642-53932-9_58

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53931-2

  • Online ISBN: 978-3-642-53932-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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