• Publications
  • Influence
On Hopf bifurcation in non-smooth planar systems
Abstract As we know, for non-smooth planar systems there are foci of three different types, called focus-focus (FF), focus-parabolic (FP) and parabolic-parabolic (PP) type respectively. The PoincareExpand
  • 149
  • 9
  • PDF
Modeling the transmission dynamics and control of Hepatitis B virus in China.
Hepatitis B is a potentially life-threatening liver infection caused by the hepatitis B virus (HBV) and is a major global health problem. HBV is the most common serious viral infection and a leadingExpand
  • 42
  • 9
  • PDF
Modeling the transmission dynamics and control of hepatitis B virus in China.
Hepatitis B is a potentially life-threatening liver infection caused by the hepatitis B virus (HBV) and is a major global health problem. HBV is the most common serious viral infection and a leadingExpand
  • 94
  • 5
Generalization of a retarded Gronwall-like inequality and its applications
TLDR
We generalize a Lipovan’s result of Gronwall-like inequalities to a new type of retarded inequalities which includes both a nonconstant term outside the integrals and more than one distinct nonlinear integrals. Expand
  • 155
  • 5
Equilibria and Their Bifurcations in a Recurrent Neural Network Involving Iterates of a Transcendental Function
  • B. Gao, W. Zhang
  • Mathematics, Computer Science
  • IEEE Transactions on Neural Networks
  • 1 May 2008
TLDR
We show an effective technique to determine the number and distribution of equilibria of the three-node recurrent neural network system with two free weight parameters and discuss their saddle node, pitchfork, Hopf bifurcations. Expand
  • 18
  • 4
Weak centers and bifurcation of critical periods in reversible cubic systems
Abstract In this paper, we investigate nonhomogeneous cubic differential systems with reversibility, which guarantees that the systems have a center at the origin. We apply the Ritt-Wu method toExpand
  • 32
  • 3
  • PDF
Generalized normal sectors and orbits in exceptional directions
In this paper, a method of so-called 'generalized normal sectors' is developed for determining orbits in exceptional directions near high degenerate equilibria for which the well-known methods ofExpand
  • 20
  • 3
PM functions, their characteristic intervals and iterative roots
The concept of characteristic interval for piecewise monotone functions is introduced and used in the study of their iterative roots on a closed interval.
  • 44
  • 3
  • PDF
Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
Abstract For nonautonomous linear differential equations with nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization ofExpand
  • 12
  • 3
  • PDF
Melnikov method for homoclinic bifurcation in nonlinear impact oscillators
Based on an inverted pendulum impacting on rigid walls under external periodic excitation, a class of nonlinear impact oscillators is discussed for its homoclinic bifurcation. The Melnikov methodExpand
  • 66
  • 2