This paper presents a new four-dimensional non-Hamiltonian conservative hyperchaotic system. In the absence of equilibrium points in the system, the phase trajectories generated by the system have hidden features. The conservative features that vary with the parameter have been analyzed in detail by Lyapunov exponent spectrum, bifurcation diagram, the sum of Lyapunov exponents, and the fractional dimensions, and during the analysis, multiple quasi-periodic four-dimensional tori as well as hyperchaotic attractors have been observed. The Poincaré sections confirm these dynamic behaviors. Amidst the process of studying the dynamical behavior of the system with initial values, the hidden extreme multistability, and the initial offset boosting behavior, the results have been witnessed for the very first time in a conservative chaotic system. The phase diagram and attraction basin also confirm this assertion, while two complex transient transition behaviors have been observed. Moreover, through the introduction of a spectral entropy algorithm, the complexity analysis of the time sequences generated by the system have been performed and compared with the existing literature. The results show that the system has a high degree of complexity. The design and construction of the analog circuit of the system for simulation, the circuit experimental results are consistent with the numerical simulation, further verifying the physical realizability of the newly proposed system. This lays a good foundation for its practical application in engineering.

中文翻译：

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一种新的四维非哈密顿保守超混沌系统

本文提出了一种新的四维非哈密顿保守超混沌系统。在系统中没有平衡点的情况下，系统产生的相轨迹具有隐藏的特征。通过李雅普诺夫指数谱、分岔图、李雅普诺夫指数之和、分数维数对随参数变化的保守特征进行了详细分析，并在分析过程中对多个准周期四维环面以及超混沌吸引子进行了详细分析已观察到。庞加莱部分证实了这些动态行为。在研究具有初始值的系统的动力学行为、隐藏的极端多稳态和初始偏移增强行为的过程中，结果首次在保守混沌系统中得到了见证。相图和吸引盆地也证实了这一论断，同时观察到两种复杂的瞬态过渡行为。此外，通过引入谱熵算法，对系统生成的时间序列进行了复杂度分析，并与现有文献进行了比较。结果表明，该系统具有高度的复杂性。对系统模拟电路的设计和构建进行了仿真，电路实验结果与数值仿真结果一致，进一步验证了新提出系统的物理可实现性。这为其在工程中的实际应用奠定了良好的基础。通过引入谱熵算法，对系统生成的时间序列进行了复杂度分析，并与现有文献进行了比较。结果表明，该系统具有高度的复杂性。对系统模拟电路的设计和构建进行了仿真，电路实验结果与数值仿真结果一致，进一步验证了新提出系统的物理可实现性。这为其在工程中的实际应用奠定了良好的基础。通过引入谱熵算法，对系统生成的时间序列进行了复杂度分析，并与现有文献进行了比较。结果表明，该系统具有高度的复杂性。对系统模拟电路的设计和构建进行了仿真，电路实验结果与数值仿真结果一致，进一步验证了新提出的系统的物理可实现性。这为其在工程中的实际应用奠定了良好的基础。对系统模拟电路的设计和构建进行了仿真，电路实验结果与数值仿真结果一致，进一步验证了新提出系统的物理可实现性。这为其在工程中的实际应用奠定了良好的基础。对系统模拟电路的设计和构建进行了仿真，电路实验结果与数值仿真结果一致，进一步验证了新提出系统的物理可实现性。这为其在工程中的实际应用奠定了良好的基础。