Institute of Modern Circuit and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.
School of Electrical, Electronic and Computer Engineering, The University of Western Australia, Perth, WA 6009, Australia.
Chaos. 2021 Dec;31(12):123116. doi: 10.1063/5.0070598.
To explore the applications of the memcapacitor in the conservative circuits, the nonlinear dynamics of a memcapacitor-based hyperchaotic conservative circuit are studied in detail. Specifically, the conservative condition of the system is obtained by combining divergence and Hamiltonian energy, and the perpetual points and equilibrium points of the memcapacitor-based system are also analyzed in detail. Subsequently, the influences of system parameters and initial conditions on the dynamics of the memcapacitor-based hyperchaotic conservative system are discussed through the dynamic map and the basin of attraction, where three dynamics phenomena can be observed, such as interior crisis, largest Lyapunov exponent jump, and coexisting conservative flows. Finally, the theoretical results are verified by the circuit experiment simulation through MULTISIM and digital signal processing; a pseudorandom number generator based on the hyperchaotic conservative system is also designed and compared with another system through an NIST test.
为了探索忆阻器在保守电路中的应用，详细研究了基于忆阻器的超混沌保守电路的非线性动力学。具体来说，通过结合散度和哈密顿能量获得了系统的保守条件，并详细分析了基于忆阻器系统的永恒点和平衡点。随后，通过动态图和吸引域讨论了系统参数和初始条件对基于忆阻器的超混沌保守系统动力学的影响，其中可以观察到三种动力学现象，如内部危机、最大李雅普诺夫指数跳跃和共存保守流。最后，通过 MULTISIM 和数字信号处理的电路实验模拟验证了理论结果；还基于超混沌保守系统设计了一个伪随机数生成器，并通过 NIST 测试与另一个系统进行了比较。
