On the dynamics of fractional q-deformation chaotic map

作者:

Highlights:

• A novel fractional q-deformation chaotic map is constructed.

• Chaotic attractor and strange nonchaotic attractor is reported in the novel fractional q-deformation chaotic map.

• the novel fractional q-deformation chaotic map has better chaotic properties.

• the fractional version of q-deformation chaotic map adds two new degrees of freedom, which will greatly improve the application value of this system.

摘要

•A novel fractional q-deformation chaotic map is constructed.•Chaotic attractor and strange nonchaotic attractor is reported in the novel fractional q-deformation chaotic map.•the novel fractional q-deformation chaotic map has better chaotic properties.•the fractional version of q-deformation chaotic map adds two new degrees of freedom, which will greatly improve the application value of this system.

论文关键词:Discrete fractional calculus,q-deformation,Synchronization,Strange nonchaotic attractor,0–1 test

论文评审过程:Received 24 September 2021, Revised 25 February 2022, Accepted 27 February 2022, Available online 9 March 2022, Version of Record 9 March 2022.

论文官网地址:https://doi.org/10.1016/j.amc.2022.127053