| With the development of chaos theory,chaotic signal sources have also made new breakthroughs in applications such as chemical electrolysis.In order to study the influence of chaotic signal sources on the efficiency of chemical electrolysis,it’s necessary to obtain chaotic signal sources with higher complexity,stronger anti-interference and easier control.Memristor as an emerging basic circuit element,which can provide nonlinear feedback for the construction of chaotic systems,facilitate the construction of chaotic systems with high complexity and even multistability,and have more choices in engineering applications.Therefore,on the basis of constructing a conditional symmetric memristive chaotic system,this paper further explores its dynamic behaviors such as its multistability,attractor growing,and bifurcation regulation amplitude and frequency control in order to integrate chaos into the chemical electrolysis process to realize new applications.The main work done in this paper includes:Firstly,the method of conditional symmetry modeling for memristive chaotic system is proposed,and its coexisting attractors and attractor growing are found.Based on the principle of conditional symmetry,a chaotic system model with only a single linear term is studied,under the constraint of polarity balance,a conditional symmetric memristive chaotic system is constructed by introducing nonlinear functions and memristors.By simulating the phase trajectory,Lyapunov exponent spectrum,bifurcation diagram and average value of the system,the dynamic analysis of the system is carried out carefully,and the property of the system conditional symmetry method is verified.When studying the influence of infinite multistability on the system,the phenomenon of attractor growing was discovered.The analog circuit experiment further verified the theoretical analysis and numerical analysis.Secondly,a memristive chaotic system with conditional symmetry,attractor growing and amplitude and frequency control characteristics is proposed.Based on its infinite multistability,conditional symmetry and polarity reversal characteristics,three regimes of attractor growing are proposed.By simulating the phase trajectory,Lyapunov exponent spectrum,bifurcation diagram and average value of the system,the manifestation of the different regimes of attractor growing are verified.In addition,the amplitude and frequency control of the system is also realized by controlling the parameters of the system.The analog circuit experiment verifies the correctness of the oretical analysis and numerical analysis.Finally,the application of chaotic systems in the field of chemical electrolysis is studied.Based on the characteristics of the amplitude and frequency and offset boosting control of the chaotic system,firstly,a chaotic system that can freely realize the amplitude and frequency and offset boosting control is construct,then,on this basis,the current amplifying characteristic of the triode is used to construct a current amplifying circuit,and circuit modules are added to adjust waveform output.Finally,the two are combined to construct a chaotic current amplifier device.And in the form of theoretical analysis,simulation and physical test analysis,the influence of polarity control,bias control,amplitude and frequency control on the chaotic current is studied. |
