Supported by the National Natural Science Foundation of China(10671063 and 10801135);the Scientific Research Foundation of Hunan Provincial Education Department(09C255)
The discrete mathematical model for the respiratory process in bacterial culture obtained by Euler method is investigated. The conditions of existence for flip bifurcation and Hopf bifurcation are derived by using cen...
Supported by the National Natural Science Foundation of China(No.10801135,11101170);Hunan Provincial Natural Science Foundation of China(No.13JJ4088);talent introduction fund(No.104-0163)
Duffing equation with damping and external excitations is investigated. By using Melnikov method and bifurcation theory, the criterions of existence of chaos under periodic perturbations are obtained. By using second-...
supported by Funding Project for Base Construction of Scientific Research of Beijing Municipal Commission of Education (WYJD200902);Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdictition of Beijing Municipality (PHR200906210);the National Natural Science Foundation of China (10801135)
Using qualitative analysis, we study perturbed Hamiltonian systems with different n-th order polynomial as perturbation terms. By numerical simulation, we show that these perturbed systems have the same distribution o...
Supported by the National Natural Science Foundation of China (No.10671063 and 10801135)
This paper is a continuation of "Complex Dynamics in Physical Pendulum Equation with Suspension Axis Vibrations"[1].In this paper,we investigate the existence and the bifurcations of resonant solution for ω0:ω:...