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- 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 Poincare… Expand
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 leading… Expand
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 leading… Expand
Generalization of a retarded Gronwall-like inequality and its applications
- R. Agarwal, S. Deng, W. Zhang
- Mathematics, Computer Science
- Appl. Math. Comput.
- 27 June 2005
TLDR
Equilibria and Their Bifurcations in a Recurrent Neural Network Involving Iterates of a Transcendental Function
TLDR
Weak centers and bifurcation of critical periods in reversible cubic systems
- W. Zhang, Xiaorong Hou, Z. Zeng
- Mathematics
- 1 September 2000
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 to… Expand
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 of… Expand
PM functions, their characteristic intervals and iterative roots
- W. Zhang
- Mathematics
- 1997
The concept of characteristic interval for piecewise monotone functions is introduced and used in the study of their iterative roots on a closed interval.
Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
- J. Chu, F. Liao, S. Siegmund, Yonghui Xia, W. Zhang
- Mathematics
- 10 February 2014
Abstract For nonautonomous linear differential equations with nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization of… Expand
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 method… Expand