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Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems

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  • Enzeng Dong
  • Guanghan Liu
  • Zenghui Wang
  • Zengqiang Chen

Abstract

Since the conservative chaotic system (CCS) has no general attractors, conservative chaotic flows are more suitable for the chaos-based secure communication than the chaotic attractors. In this paper, two Hamiltonian conservative chaotic systems (HCCSs) are constructed based on the 4D Euler equations and a proposed construction method. These two new systems are investigated by equilibrium points, dynamical evolution map, Hamilton energy, and Casimir energy. They look similar, but it is found that one can be explained using Casimir power and another cannot be explained in terms of the mechanism of chaos. Furthermore, a pseudorandom signal generator is developed based on these proposed systems, which are tested based on NIST tests and implemented by using the field programmable gate array (FPGA) technique.

Suggested Citation

  • Enzeng Dong & Guanghan Liu & Zenghui Wang & Zengqiang Chen, 2020. "Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems," Complexity, Hindawi, vol. 2020, pages 1-15, April.
    • Handle: RePEc:hin:complx:8693157
    DOI: 10.1155/2020/8693157
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    Cited by:

    1. Zhang, Zefeng & Huang, Lilian & Liu, Jin & Guo, Qiang & Du, Xiuli, 2022. "A new method of constructing cyclic symmetric conservative chaotic systems and improved offset boosting control," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Dong, Qing & Zhou, Shihua & Zhang, Qiang & Kasabov, Nikola K., 2023. "A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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