https://doi.org/10.1140/epjp/s13360-022-02734-3
Regular Article
A new set of hyperchaotic maps based on modulation and coupling
1
School of mechanical engineering and automation, Dalian Polytechnic University, 116034, Dalian, China
2
Department of Mechanical and Manufacturing Engineering, University of Manitoba, Winnipeg, Canada
b
moujun@csu.edu.cn
e
workingfine@163.com
Received:
2
March
2022
Accepted:
17
April
2022
Published online:
30
April
2022
In this paper, a class of hyperchaotic mappings is constructed based on one-dimensional Logistic map and modulated coupling control methods. First, the equilibrium points of the system are analyzed using the M-SS map as an example and it is found that the M-SS map has infinite equilibrium points. Second, the dynamical characteristics of the newly constructed hyperchaotic maps are analyzed by means of phase diagram, bifurcation diagram, Lyapunov exponent spectrums and complexity. The analysis shows that the newly constructed class of hyperchaotic mappings has richer dynamical properties than the one-dimensional Logistic map, such as wider chaotic domains, hyperchaotic states and higher complexity. In addition, the DSP implementation of the hyperchaotic maps illustrates the feasibility of the class of chaotic maps in digital circuits.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
