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Search Results: 1 - 10 of 18485 matches for " Maoan Han "
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Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems
Yanqin Xiong,Maoan Han
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/690453
Abstract: We consider a class of discontinuous Liénard systems and study the number of limit cycles bifurcated from the origin when parameters vary. We establish a method of studying cyclicity of the system at the origin. As an application, we discuss some discontinuous Liénard systems of special form and study the cyclicity near the origin.
Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System
Yanqin Xiong,Maoan Han
Abstract and Applied Analysis , 2013, DOI: 10.1155/2013/575390
Bifurcation of Sign-Changing Solutions for m-Point Boundary Value Problems
Yulian An,Maoan Han
ISRN Mathematical Analysis , 2012, DOI: 10.5402/2012/354513
Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials
Pei Yu,Maoan Han
Mathematics , 2010,
Abstract: In this paper, we give a positive answer to the open question: Can there exist 4 limit cycles in quadratic near-integrable polynomial systems? It is shown that when a quadratic integrable system has two centers and is perturbed by quadratic polynomials, it can generate at least 4 limit cycles with (3,1) distribution. The method of Melnikov function is used.
Bounds for Certain Nonlinear Dynamic Inequalities on Time Scales
Wei Nian Li,Maoan Han
Discrete Dynamics in Nature and Society , 2009, DOI: 10.1155/2009/897087
Abstract: We investigate some new nonlinear dynamic inequalities on time scales. Our results unify and extend some integral inequalities and their corresponding discrete analogues. The inequalities given here can be used to investigate the properties of certain dynamic equations on time scales.
Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems
Maoan Han,Valery G. Romanovski
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/720830
Limit cycle bifurcations from a nilpotent focus or center of planar systems
Maoan Han,Valery G. Romanovski
Mathematics , 2011,
Abstract: In this paper, we study the analytical property of the Poincare return map and the generalized focal values of an analytical planar system with a nilpotent focus or center. Then we use the focal values and the map to study the number of limit cycles of this kind of systems with parameters, and obtain some new results on the lower and upper bounds of the maximal number of limit cycles near the nilpotent focus or center.
On the number of limit cycles of polynomial Lienard systems
Maoan Han,Valery G. Romanovski
Mathematics , 2011,
Abstract: Lienard systems are very important mathematical models describing oscillatory processes arising in applied sciences. In this paper, we study polynomial Lienard systems of arbitrary degree on the plane, and develop a new method to obtain a lower bound of the maximal number of limit cycles. Using the method and basing on some known results for lower degree we obtain new estimations of the number of limit cycles in the systems which greatly improve existing results.

Han Maoan,

系统科学与数学 , 1998,
Abstract: This paper is concerned with the bifurcations of periodic orbits and invariant tori of three dimensional systems of codimension two singularities under double parameter perturbations. An optimal condition for the existence of invariant tori is obtained.

Han Maoan,

系统科学与数学 , 1997,
Abstract: It is proved in the present paper that the first order Melnikov function M1 (h) is twice differentiable at the center with respect to Hamiltonian value h. A necessary and sufficient condition for the second order Melnikov function M2 to be C2 at the center is obtained. Then it is illustrated that the succession function of the perturbed system discussed in 3, 4] is not C~2 at the center.
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