Design and dynamics of the multicavity hyperchaotic map based on offset boosting
School of Physics and Electronics, Central South University, 410083, Changsha, China
Accepted: 7 December 2021
Published online: 22 December 2021
This paper presents a novel methodology that the offset boosting is applied to construct discrete multicavity chaotic maps for the first time. To use this method, three new hyperchaotic maps with the hemispherical-cylindrical attractor are built based on the spherical structure. The phase spaces of the new chaotic maps are larger and the dynamics are more complex. The results show that the new maps display complex dynamical characteristics, including hyperchaos, large Lyapunov exponent, high complexity and coexisting attractors. By introducing constants into the equations, the discrete multicavity chaotic maps are obtained successfully. The dynamical performance of the new chaotic maps and distribution of cavities can be easily controlled by adjusting the constants. Furthermore, to verify the feasibility of the applications, the digital circuits of the new chaotic maps are implemented based on DSP technique. Instead of using staircase wave function, the new approach is proposed to extend the attractor phase space, which has great application prospects in secure communication.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021