摘要
基于分数阶微积分的Adams-Bashforth-Moulton一步方法与预估-校正算法,研究了分数阶超混沌Lorenz系统,并进行了数值仿真。结果表明:该系统存在超混沌的最低阶数为3.88阶。利用一步耦合法给出了分数阶超混沌系统的同步,并利用数值模拟验证其准确性。
Based on the fractional calculus Adams-Bashforth-Moulton and predictor-corrector algorithm,the fractional order hyperchaotic Lorenz system is investigated numerically. The simulation results show that the lowest orders for hyperchaos in hyperchaotic Lorenz system gets 3.88. Synchronization of fractional order hyperchaotic systems is given by using Step Coupling Method, and the simulation results test its accuracy.
出处
《太原科技大学学报》
2010年第1期72-75,共4页
Journal of Taiyuan University of Science and Technology
关键词
分数阶
超混沌
LORENZ系统
同步
fractional-order, super-chaos, Lorenz system, synchronization
