An improved mean-field model,which specially takes into account pair correlation,was proposed to describe catalytic oscillatory oxidation of CO on Pt(110).By applying on-off control strategies under different frequenc...An improved mean-field model,which specially takes into account pair correlation,was proposed to describe catalytic oscillatory oxidation of CO on Pt(110).By applying on-off control strategies under different frequency,the chemical oscillator shows an abundance of periodic doubling processes,even chaos response,and the route to the chaos and out of the chaos were both identified as period-doubling through analysis of its Lyapunov exponent spectrum.These response results reveal that structure delay effect plays an important role to the complexity of this system.展开更多
We report an explosive transition from incoherence to synchronization of coupled phase oscillators on adaptive networks,following an Achlioptas process based on dynamic clustering information.During each adaptive step...We report an explosive transition from incoherence to synchronization of coupled phase oscillators on adaptive networks,following an Achlioptas process based on dynamic clustering information.During each adaptive step of the network topology,a portion of the links is randomly removed and the same amount of new links is generated following the so-called product rules(PRs)applied to the dynamic clusters.Particularly,two types of PRs are considered,namely,the min-PR and max-PR.We demonstrate that the synchronization transition becomes explosive in both cases.Interestingly,we find that the min-PR rule can lead to disassortativity of the network topology,while the max-PR rule leads to assortativity.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.29673039.
文摘An improved mean-field model,which specially takes into account pair correlation,was proposed to describe catalytic oscillatory oxidation of CO on Pt(110).By applying on-off control strategies under different frequency,the chemical oscillator shows an abundance of periodic doubling processes,even chaos response,and the route to the chaos and out of the chaos were both identified as period-doubling through analysis of its Lyapunov exponent spectrum.These response results reveal that structure delay effect plays an important role to the complexity of this system.
基金Supported by the National Science Foundation of China(20933006)the Fundamental Research Funds for the Central Universities.
文摘We report an explosive transition from incoherence to synchronization of coupled phase oscillators on adaptive networks,following an Achlioptas process based on dynamic clustering information.During each adaptive step of the network topology,a portion of the links is randomly removed and the same amount of new links is generated following the so-called product rules(PRs)applied to the dynamic clusters.Particularly,two types of PRs are considered,namely,the min-PR and max-PR.We demonstrate that the synchronization transition becomes explosive in both cases.Interestingly,we find that the min-PR rule can lead to disassortativity of the network topology,while the max-PR rule leads to assortativity.
