A hyperchaotic map with multi-elliptic cavities based on modulation and coupling
School of Physics and Electronics, Central South University, 410083, Changsha, China
Accepted: 28 April 2021
Published online: 2 June 2021
In this paper, a modulation and coupling-based chaotification method is proposed to enhance the nonlinear performance of the one dimensional (1D) chaotic maps. Based on the iterative chaotic map with infinite collapse (ICMIC), a multi-cavity discrete chaotic map named Ellipse ICMIC modulation map (EIMM) is constructed. The simulation results show that the EIMM has more complex dynamical behaviors than the ICMIC, including more complex phase space structure, higher complexity, and larger Lyapunov exponent (LE). And the system can effectively resist parameter identification. Through the expansion of dimension and phase space, the performance of the EIMM is further improved. To better illustrate the practicality of this method, pseudo-random number generators based on the ICMIC and the EIMM are designed. The performance test results of the two output sequences also show the effectiveness of this chaotification method.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021