Supported by the National Natural Science Foundation of China under Grant No 10825207;the Priority Academic Program Development of Jiangsu Higher Education Institutions.
A fractional-order phase-locked loop(PLL)with a time-delay is firstly proposed on the basis of the fact that a capacitor has memory.The existence of Hopf bifurcation of the fractional-order PLL with a time-delay is in...
Supported by the National Natural Science Foundation of China under Grant Nos 61100076 and 60973012;the Foundation of Department of Education of Hubei Province under Grant D20102504.
A kind of discrete logistic model with distributed delays obtained by the Euler method is investigated,where the discrete delay Τ is regarded as a parameter.By analyzing the associated characteristic equation,it is f...
Supported by the National Natural Science Foundation of China under Grant Nos 60772023 and 10432010.
The anti-control of bifurcation refers to the task of creating a certain bifurcation with particular desired properties and location by appropriate controls. We consider, via feedback control and symbolic computation,...
Supported by the National Natural Science Foundation of China under Grant Nos 10475008 and 10435020, the Scientific Research Foundation for the Returned 0verseas Chinese Scholars, Ministry of Personnel of China under Grant No M0P2006138, the Ministry of Education of China under Grant No 2005383, the Foundations for Excellent Scientists of Beijing under Grant No 20041D1300120.
Exploiting the nonlinear dynamics in the negative feedback loop, we propose a statistical signal-response model to describe the different oscillatory behaviour in a biological network motif. By choosing the delay as a...
Based on the idea of"from multiple steady states to oscillation",a proposal for predicting the existence of inverted Hopf bifurcation is put forward and confirmed with a model of modified"Brusselator".