Chaotic systems have high potential for engineering applications due to their extremely complex dynamics. In the paper, a five-dimensional (5D) Kolmogorov-like hyperchaotic system is proposed. First, the hyperchaotic property is uncovered, and numerical analysis shows that the system displays the coexistence of different kinds of attractors. This system presents a generalized form of fluid and forced-dissipative dynamic systems. The vector field of the hyperchaotic system is decomposed to inertial, internal, dissipative and external torques, respectively, and the energies are analyzed in detail. Then, the bound of the 5D dissipative hyperchaos is estimated with a constructed spherical function. Finally, the system passes the NIST tests and an FPGA platform is used to realize the hyperchaotic system.

中文翻译：

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类 Kolmogorov 超混沌系统的动态分析与 FPGA 实现

由于其极其复杂的动力学，混沌系统具有很高的工程应用潜力。在本文中，提出了一个五维（5D）类 Kolmogorov 超混沌系统。首先，揭示了超混沌特性，数值分析表明系统表现出不同类型吸引子的共存。该系统呈现了流体和强制耗散动态系统的广义形式。将超混沌系统的矢量场分别分解为惯性力矩、内部力矩、耗散力矩和外部力矩，并对其中的能量进行了详细分析。然后，用构造的球函数估计 5D 耗散超混沌的界限。最后，系统通过了NIST测试，并使用FPGA平台实现了超混沌系统。