Dynamics and Hamiltonian energy analysis of a novel memristor coupled Josephson junction phototub chaotic circuit.

As a circuit component with memory function, memristors have significant nonlinear physical characteristics and are widely used in the study of chaotic circuits and artificial neural networks. Given the superconducting quantum properties of Josephson junctions, various functional circuits and their applications, including memristors and Josephson junctions, have attracted widespread attention in recent years. This paper aims to study the nonlinear dynamic behavior, state switching characteristics, memory characteristics, and Hamiltonian energy calculation of a phototub chaotic circuit based on memristor and Josephson junction. Firstly, by utilizing the nonlinear physical characteristics of memristors and the superconducting quantum properties of Josephson junctions, a type of memristor coupled Josephson junction resonant circuit model is constructed by simultaneously introducing memristor and Josephson junction into the resonant circuit, selecting appropriate electronic components in a series parallel manner, and further exploring the memory mechanism and electromagnetic induction effect of memristor. Then, through dimensionless transformation, based on nonlinear dynamics and control theory and numerical simulation, the complex chaotic characteristics of its dynamic system are thoroughly studied. Lastly, in order to explore ways to reduce the energy storage of components in resonant coupled circuit systems with memristors, the Hamiltonian energy function of the coupled network containing memristor is calculated and analyzed. This study will play a certain expanding role in the nonlinear dynamic analysis and application of memristor functional circuits. [ABSTRACT FROM AUTHOR]