The Studies Of The Effects Of The Coupling Circuit Channels On The Oscillation Quenching Dynamics

Oscillation quenching phenomenon is mainly divided into amplitude death(AD)and oscillation death(OD),which a kind of collective dynamics behavior.The amplitude death is widely used in the field of engineering shock absorption optimization control.Whereas oscillating death is significant in terms of biomedicine.In fact,the main factors affecting the oscillation quenching dynamics of the coupled circuit system are the inherent nonlinear terms and the external coupling channel characteristics.Therefore,the inherent nonlinear terms and the external coupling channel characteristics provide theoretical basis for the study of various forms of oscillation quenching dynamics and their characteristics,conditions,internal mechanisms and control principles,and provide application value for the research of quenching phenomena in engineering and life science.This paper focuses on the effects of coupling modes with different channel characteristics(time-varying switch coupling,low-pass filter and positive and negative feedback coupling)on the generation of amplitude and oscillation death and mutual transformation process.(1)Under the function of time-varying switch coupling,the influence of modulation frequency and amplitude on the coupling period(or chaotic oscillator)is studied.The results show that with the increase of modulation amplitude,the amplitude death region first increases and then decrease,as modulation frequency increase,the critical modulation amplitude of amplitude death region also increases.(2)The influence of the characteristics of APF in the coupled circuit channel on the dynamic behavior of the coupled system.The experimental results show that the oscillation quenching phenomenon of single(dual)channel coupled systems(whether local and global diffusive coupling systems,or conjugate coupling systems,average-field coupling systems)are closely related to the cutoff frequency of low-pass filter and active device parameter,and asymmetrical oscillation death(ASOD)is found in single-channel diffusion coupling(local and global coupling systems),single(dual)channel conjugate coupling systems and single-channel average-field coupling systems.(3)In the channel characteristics of positive and negative feedback coupling(attractive or repulsive coupling),the influence of changes of the signs between coupling and nonlinear component(controlling the field density of the coupling channel)on the coupling systems is studied.The results show that in identical Stuart-Landau coupled system,when parameter signs of the coupling strength and field density are the same as positive or negative,nontrivial amplitude death(NTAD)and symmetrical oscillation death(OD)will exhibit mirror symmetry.However,the identical Van der Pol coupled system will produce obvious mirror symmetry when the signs of the coupling strength and field density parameter are positive,and this result is confirmed by circuit simulation.The research results in this paper can be perfectly matched with theoretical and numerical results.The above research results are helpful to understanding the internal mechanism and control principles of various oscillation quenching dynamic behaviors,and can provide theoretical basis and application value for the study of quenching phenomena in engineering and life science.