Chaos synchronization and chaos anticontrol of a rotationally supported simple pendulum

被引：10
作者：
Ge, ZM [1 ]
Yu, CY [1 ]
Chen, YS [1 ]
机构：
[1] Natl Chiao Tung Univ, Dept Mech Engn, Hsinchu 30050, Taiwan
来源：
JSME INTERNATIONAL JOURNAL SERIES C-MECHANICAL SYSTEMS MACHINE ELEMENTS AND MANUFACTURING | 2004年 / 47卷 / 01期
关键词：
chaos; synchronization; anticontrol; pendulum;
D O I：
10.1299/jsmec.47.233
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Chaos synchronization and anticontrol of a rotationally supported simple pendulum was studied in this paper. Different kinds of coupling terms are used to synchronize the two identical chaotic systems with different initial conditions. An observed-based scheme is also used to achieve synchronization. The results are demonstrated by phase portrait, Lyapunov exponent, Poincare maps and synchronization time. Next, in order to analyze the transient behavior of the synchronized systems, Euclidean distance is used to plot a figure with coupling strength versus the distance. The chaotic signals are used to mask the message function in the secure communication system. Finally, anticontrol of chaos is achieved by adding constant term, periodic term, impulse term, time-delay term and adaptive control.
引用
收藏
页码：233 / 241
页数：9
相关论文
共 15 条
  • [11] SANTOBONT G, 1999, INT J BIFURCATION CH, V9
  • [12] SARASOLA C, 2000, 2000 2 INT C, V3, P475
  • [13] Strogatz S.H., 1994, NONLINEAR DYNAMICS C
  • [14] Chaotic communication using generalized synchronization
    Terry, JR
    VanWiggeren, GD
    [J]. CHAOS SOLITONS & FRACTALS, 2001, 12 (01) : 145 - 152
  • [15] Synchronization in driven chaotic systems: Diagnostics and bifurcations
    Vadivasova, TE
    Balanov, AG
    Sosnovtseva, OV
    Postnov, DE
    Mosekilde, E
    [J]. PHYSICS LETTERS A, 1999, 253 (1-2) : 66 - 74
12