透過您的圖書館登入
IP:3.145.42.94
  • 期刊
  • OpenAccess

Si'lnikov Chaos of Two Different Chaotic Dynamical Systems

並列摘要


This paper presents the existence of Si'lnikov heteroclinic orbits in the Schimizu-Morioka system and the Zhou system by using the undetermined coefficient method. As a result, the Si'lnikov criterion along with some technical conditions guarantees that the Schimizu-Morioka and Zhou systems have both Smale horseshoes and horseshoe type of chaos. Moreover, the geometric structures of attractors are determined by these heteroclinic orbits.

並列關鍵字

無資料

參考文獻


T. Zhou and Y. Tang, Int. J. Bifurc. Chaos 14, 3167 (2004).
L. Zhou and F. Chen, Chaos 18, 013113 (2008).
K. Y. Lin, Chinese J. Phys. 28, 159 (1990).
K. A. Chao, in Superconductivity and Applications (Progress in High Temperature Superconductivity, Vol. 19), eds. P. T. Wu, H. C. Ku, W. H. Lee, and R. S. Liu (World Scientific, Singapore, 1989), p. 121.
Z. Elhadj, Radio Engineering 17, 9 (2008).

延伸閱讀