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

Author

Listed:
  • Sun, Shuqi
  • Shi, Hang
  • Musha, Ji'e
  • Yan, Dengwei
  • Duan, Shukai
  • Wang, Lidan

Abstract

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.

Suggested Citation

  • Sun, Shuqi & Shi, Hang & Musha, Ji'e & Yan, Dengwei & Duan, Shukai & Wang, Lidan, 2022. "Design of heterogeneous time-lags system with multi-stability and its analog circuit," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005410
    DOI: 10.1016/j.chaos.2022.112331
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    References listed on IDEAS

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    1. Zhang, Sen & Zeng, Yicheng, 2019. "A simple Jerk-like system without equilibrium: Asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 25-40.
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