Chaos, Its Synchronization and Anticontrol of Integral and Fractional Order Modified Heartbeat Systems

• Main Authors: An-Ray Zhang, 張安瑞
• Other Authors: Zheng-Ming Ge
• Format: Others
• Language: en_US
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/50136706911593634053

碩士 === 國立交通大學 === 機械工程系所 === 94 === Chaos, chaos synchronization and anticontrol for integral and fractional modified heartbeat systems are studied in the thesis. By applying numerical results, phase portrait, Poincaré maps and bifurcation diagrams, a variety of the phenomena of the periodic and chaotic motion can be presented. The synchronizations of two uncoupled integral and fractional order chaotic modified heartbeat systems are accomplished by parameter excited synchronization. Anticontrol of chaos of fractional order modified heartbeat systems can be obtained by addition of a constant term and addition of a nonlinear term. Chaotization of integral and fractional order modified heartbeat systems by parameter excited method, replacement of the parameter of first system by the function of the chaotic state variables of a second chaotic system, is successfully accomplished.