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CHAOS AND CHAOS SYNCHRONIZATION OF A SYMMETRIC GYRO WITH LINEAR-PLUS-CUBIC DAMPING

โœ Scribed by H.-K. CHEN

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
731 KB
Volume
255
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

The dynamic behavior of a symmetric gyro with linear-plus-cubic damping, which is subjected to a harmonic excitation, is studied in this paper. The Liapunov direct method has been used to obtain the su$cient conditions of the stability of the equilibrium points of the system. By applying numerical results, time history, phase diagrams, PoincareH maps, Liapunov exponents and Liapunov dimensions are presented to observe periodic and chaotic motions. Besides, several control methods, the delayed feedback control, the addition of constant motor torque, the addition of period force, and adaptive control algorithm (ACA), have been used to control chaos e!ectively. Finally, attention is shifted to the synchronization of chaos in the two identical chaotic motions of symmetric gyros. The results show that one can make two identical chaotic systems to synchronize through applying four di!erent kinds of one-way coupling. Furthermore, the synchronization time is also examined.

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