Stability conditions, hyperchaos and control in a novel fractional order hyperchaotic system
Stability conditions, hyperchaos and control in a novel fractional order hyperchaotic system
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DOI：
10.1016/j.physleta.2009.04.032
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发表时间：
2009-06-01
影响因子：
2.6
通讯作者：
Matouk, A. E.
中科院分区：
文献类型：
--
作者：
Matouk, A. E.
给出了分数阶超混沌系统的稳定性条件。将这些条件应用于一个新的分数阶超混沌系统。所提出的系统也表现出超混沌的订单小于4。基于Routh-Hurwitz条件，得到了超混沌系统的反馈控制条件。得到了仅控制分数阶超混沌系统的一个具体条件。数值仿真验证了理论分析的正确性。(C)2009爱思唯尔有限公司版权所有。
The stability conditions in fractional order hyperchaotic systems are derived. These conditions are applied to a novel fractional order hyperchaotic system. The proposed system is also shown to exhibit hyperchaos for orders less than 4. Based on the Routh-Hurwitz conditions, the conditions for controlling hyperchaos via feedback control are also obtained. A specific condition for controlling only fractional order hyperchaotic systems is achieved. Numerical Simulations are used to verify the theoretical analysis. (C) 2009 Elsevier B.V. All rights reserved.