This study aims to determine the phenomenological bifurcation(P-bifurcation)occur-ring in the van der Pol(VDP)neuronal model of burst neurons with a random signal.We observe the P-bifurcation under an intense noise st...
Supported by the Natural Science Foundation of Yunnan Province under Grant No.2013FZ117;the National Natural Science Foundation of China under No.11364017
The bifurcations of traveling wave solutions of the Broer–Kaup system are investigated and all possible exact parametric representations of the smooth and peaked solitary waves are presented.
Project supported by the National Natural Science Foundation of China (Grant No. 20976075)
The behaviors of a system that alternates between the R¨ossler oscillator and Chua's circuit is investigated to explore the influence of the switches on the dynamical evolution.Switches related to the state variable...
supported by the National Natural Science Foundation of China (10672140,11072213)
Due to uncertain push-pull action across boundaries between different attractive domains by random excitations, attractors of a dynamical system will drift in the phase space, which readily leads to colliding and mixi...
supported by an the National Natural Science Foundation of China under Grant No.60804015,and an NSERC grant to the third author
This paper investigates the nonlinear dynamics of network-based dynamical systems where network communication channels of finite data rates are inserted into the closed loops of the control systems. The authors analyz...
Project supported by National Natural Science Foundation of China (Grant No. 50275116), and National High-Technology Research and Development Program of China ( Nos. 2002AA414060, 2002AA503020)
Nonlinear dynamic behaviors of a rotor dynamical system with finite hydrodynamic bearing supports were investigated. In order to increase the numerical accuracy and decrease computing costs, the isoparametric finite e...