Paper Title:
Local Stability and Hopf Bifurcation Analysis of the Arneodo’s System
  Abstract

The chaotic behaviors of the Arneodo’s system are investigated in this paper. Based on the Arneodo's system characteristic equation, the equilibria of the system and the conditions of Hopf bifurcations are obtained, which shows that Hopf bifurcations occur in this system. Then using the normal form theory, we give the explicit formulas which determine the stability of bifurcating periodic solutions and the direction of the Hopf bifurcation. Finally, some numerical examples are employed to demonstrate the effectiveness of the theoretical analysis.

  Info
Periodical
Edited by
Han Zhao
Pages
2550-2557
DOI
10.4028/www.scientific.net/AMM.130-134.2550
Citation
Y. J. Liu, Z. S. Li, X. M. Cai, Y. L. Ye, "Local Stability and Hopf Bifurcation Analysis of the Arneodo’s System", Applied Mechanics and Materials, Vols. 130-134, pp. 2550-2557, 2012
Online since
October 2011
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