Design of heterogeneous time-lags system with multi-stability and its analog circuit

• Published in: Chaos, solitons and fractals solitons and fractals, 2022-08, Vol.161, p.112331, Article 112331
• Main Authors: Sun, Shuqi, Shi, Hang, Musha, Ji'e, Yan, Dengwei, Duan, Shukai, Wang, Lidan
• Format: Article
• Language: English
• Subjects: Hardware circuit; Heterogeneous time-lags chaotic system; Image encryption; Multi-directional attractors; Multi-stability; Transient chaos
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2022.112331

A novel heterogeneous time-lags chaotic system is constructed and explored in this work. By choosing appropriate control parameters, the state of this system can be switched between conservative and dissipative. When different initial conditions are selected, this system can produce multiple coexisting attractors or flows, that is, the system has the property of multi-stability. More interestingly, the attractors generated by this system can be distributed in 1-D lines, 2-D lattices and 3-D grids which means the circumstance of multi-directional attractors occurs. And the rare phenomenon of transient chaos is analyzed in this system as well. It is worth noting that the implementation of hardware circuits for time-lags chaotic systems has been a major obstacle in engineering applications. To remove this bottleneck and further explore the physical presence of this proposed system, the hardware analog circuit of the proposed system is achieved. The experimental observations further verify the feasibility of this system. Additionally, the experiments of spectral entropy complexity and image encryption performance verify the good performance of the proposed system. •The unusual physical phenomenon, transient chaos, can be detected in this paper. The orbit is chaotic in a finite time domain and eventually evolves into a periodic orbit.•The proposed system has the freedom of variable boosting. The resulting chaotic attractor can propagate over a line, a lattice or even a 3-D grid.•The equivalent analog circuit of the system is successfully established, and the chaotic attractors are also observed by oscilloscope (analog Discovery 2).•Through comparison, this system has good SE complexity, and the pseudo-random sequence generated by it is applied to the field of image encryption, which further verifies the superiority of this system.