国家自然科学基金(10801135)

作品数:4被引量:2H指数:1
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Bifurcations and Chaos of a Discrete Mathematical Model for Respiratory Process in Bacterial Culture
《Acta Mathematicae Applicatae Sinica》2014年第4期871-886,共16页Xiang-ling FU Jin DENG 
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...
关键词:MAP flip bifurcation Hopf bifurcation Marotto's chaos CHAOS 
Bifurcations and Chaos in Duffng Equation with Damping and External Excitations被引量:1
《Acta Mathematicae Applicatae Sinica》2014年第2期483-504,共22页Mei-xiang CAI Jian-ping YANG Jin DENG 
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-...
关键词:Duffing equation Melnikov method second-order averaging method CHAOS 
SAME DISTRIBUTION OF LIMIT CYCLES TO PERTURBED CUBIC HAMILTONIAN SYSTEMS WITH DIFFERENT PERTURBATIONS
《Annals of Differential Equations》2011年第2期241-247,共7页Zhiyan Yang, Tao Jiang (School of Information, Beijing Wuzi University, Beijing 101149) 
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...
关键词:limit cycles bifurcation 
Bifurcations of Resonant Solutions and Chaos in Physical Pendulum Equation with Suspension Axis Vibrations被引量:1
《Acta Mathematicae Applicatae Sinica》2010年第4期677-704,共28页Xiang-ling Fu Jin Deng Jian-ping Yang 
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:...
关键词:Pendulum equation suspension axis vibrations averaging method Melnikov's method BIFURCATIONS CHAOS three frequencies resonances resonant solution 
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