A specific state variable for a class of 3D continuous fractional-order chaotic systems

作者：Zhou Ping^*; Cheng Yuan Ming; Kuang Fei

来源：Chinese Physics B, 2010, 19(7): 070507.

• fractional-order chaotic systems
• state variable
• q-order and 2q-order time derivatives
• chaotic synchronization

A specific state variable in a class of 3D continuous fractional-order chaotic systems is presented. All state variables of fractional-order chaotic systems of this class can be obtained via a specific state variable and its (q-order and 2q-order) time derivatives. This idea is demonstrated by using several well-known fractional-order chaotic systems. Finally, a synchronization scheme is investigated for this fractional-order chaotic system via a specific state variable and its (q-order and 2q-order) time derivatives. Some examples are used to illustrate the effectiveness of the proposed synchronization method.

• 出版日期2010-7
• 单位重庆大学