Chaotic vibration, bifurcation, stabilization and synchronization control for fractional discrete-time systems

作者：

Highlights：

• Fractional Cubic map and fractional Holmes map are modelled in light of different ways.

• A novel asymptotic stability criterion for linear incommensurate fractional difference system is proposed and implemented.

• Dynamics of fractional maps is characterized in detail.

摘要

•Fractional Cubic map and fractional Holmes map are modelled in light of different ways.•A novel asymptotic stability criterion for linear incommensurate fractional difference system is proposed and implemented.•Dynamics of fractional maps is characterized in detail.

论文关键词：Discrete fractional calculus,Chaotic vibration,Bifurcation,Stabilization,Synchronization

论文评审过程：Received 10 March 2020, Revised 31 March 2020, Accepted 31 May 2020, Available online 20 June 2020, Version of Record 20 June 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125423