Eur. Phys. J. Spec. Top. (2021) 230: 3913-3925
https://doi.org/10.1140/epjs/s11734-021-00331-6

Regular Article

A new fractional-order 2D discrete chaotic map and its DSP implement

School of Information Science and Engineering, Dalian Polytechnic University, 116034, Dalian, China

^b moujun@csu.edu.cn
^d caoyinghong@dipu.edu.cn

Received: 8 July 2021
Accepted: 30 October 2021
Published online: 8 November 2021

Abstract

In the paper, a novel 2D discrete chaotic system was constructed and the solution of numeric of the matching fractional-order chaotic system is obtained. The dynamical behaviors of the discrete chaotic map are analyzed by attractor phase diagram, bifurcation diagram, maximum Lyapunov exponent and complexity analysis. Particularly, the fractal and the fractal dimension of discrete chaotic map is verified via the bifurcation diagram. Numerical simulation results show that the chaotic map has a variety of coexistence of attractors, such as the coexistence of chaos and chaos, the coexistence of chaos and period, and the coexistence of period and quasi-period. In addition, we also found that the position of the attractor’s trajectory in the phase space can be flexibly controlled by the parameter c. Finally, the chaotic map is achieved on the DSP platform. Experiments show that the discrete system has rich dynamical characteristics and has the vital prospect in the application of secure communication.