This paper discusses the synchronization of a class of chaotic system. Some new and less conservative sufficient conditions are established by impulsive control method. Our results are also applicable to the L, Chen, and Liu systems. An example and its simulations are finally included to visualize the effectiveness and feasibility of the method.
In this paper,by using Schaefer fixed-point theorem,the existence of mild solutions of semilinear impulsive delay differential equations with nonlocal conditions is studied.The results obtained are a generalization and continuation of the recent results on this issue.In the end,an example is given to show the application of the results.
In this paper,using the Abelian integral,we investigate the limit cycle bifurcation of two classes of non-smooth near-Hamiltonian systems,and obtain the maximum number of limit cycles of the system.
Yanan Zhao 1,Yulian An 1,2(1.Institute of Math.,Shanghai Normal University,Shanghai 200234,2.Dept.of Math.,Shanghai Institute of Technology,Shanghai 201418)
A fixed point analysis approach is used to investigate the existence of mild solutions of second order semilinear impulsive delay integrodifferential equations with nonlocal conditions.Without imposing compactness condition on the cosine family of operators,we give some sufficient conditions for the existence of mild solutions of such system.Finally,an example is presented to illustrate the utility of the proposed result.The results improve some recent results.
