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	1. Random Attractor for Stochastic Zakharov LatticeDynamical Systems with Multiplicative White Noises
	ZHOU Shengfan,BAI Yu
	Mathematics 04 January 2012
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	Abstract:The paper is devoted to the long term asymptoticbehavior of solutions to the stochastic Zakharov lattice equationswith multiplicative white noise. Firstly, using Ornstein-Uhlenbeck transformation, the stochastic Zakharov lattice system is turned into a random differential equation with random coefficients, testify theexistence and uniqueness of solutions, therefore the solution of the system determine a continuous random dynamical system withtempered random absorbing set, in which the random dynamical system is asymptotically compactness, then obtain random attractor and absorbing all tempered random sets.
	TO cite this article:ZHOU Shengfan,BAI Yu. Random Attractor for Stochastic Zakharov LatticeDynamical Systems with Multiplicative White Noises[OL].[ 4 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4459735


	2. Stability of Iterative Roots
	ZHANG Weinian
	Mathematics 02 January 2012
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	Abstract:Since many results on existence of continuous iterative roots were obtained, stability of iterative roots becomes an important subject in order to compute iterative roots numerically. This paper discusses on continuous stability and continuously differentiable stability of monotone iterative roots, showing results of the Hyers-Ulam stability, results of approximation which actually give continuous stability, and a comparison between local continuously differentiable stablility and global continuously differentiable unstability for iterative roots.
	TO cite this article:ZHANG Weinian. Stability of Iterative Roots[OL].[ 2 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4459195

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	3. Pressures for Asymptotically Sub-additive Potentials Under a Mistake Function
	CHENG Wen-Chiao,ZHAO Yun,CAO Yongluo
	Mathematics 25 October 2011
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	Abstract:This paper defines the pressure for asymptotically sub-additive potentials under a mistake function, including the measure-theoretical and the topological versions. Using the advanced techniques of ergodic theory and topological dynamics, we reveal a variational principle for the new defined topological pressure without any additional conditions on the potentials and the compact metric space.
	TO cite this article:CHENG Wen-Chiao,ZHAO Yun,CAO Yongluo. Pressures for Asymptotically Sub-additive Potentials Under a Mistake Function[J].


	4. Modified projective synchronization of fractional-order chaotic systems with different dimensions
	WU Ranchao,ZHANG Xi
	Mathematics 28 March 2011
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	Abstract:In this letter, the modified projective synchronization between two fractional-order chaotic systems with different dimensions is investigated. The added-order scheme and the reduced-order scheme are proposed, respectively. Based on the Laplace transformation and feedback control theory, controllers are designed such that two chaotic systems with different dimensions could be synchronized asymptotically under the presented schemes. Corresponding numerical simulations are given to show the effectiveness of the proposed schemes.
	TO cite this article:WU Ranchao,ZHANG Xi. Modified projective synchronization of fractional-order chaotic systems with different dimensions[OL].[28 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4418807


	5. Quasi-periodic Solutions for 2k Order Wave Equations
	Gao Yixian,Chang Jing
	Mathematics 22 March 2011
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	Abstract:In this paper, we consider one-dimensional (1D) nonlinear 2k order wave equations under the Dirichlet boundary conditions, weher the nonlinearity f is an analytic, odd function. It is proved that for almost all real pa-rameters m>0, the equations admit small-amplitude quasi-periodic solutionscorresponding to finite dimensional invariant tori for an associated infnite dimensional dynamical system. The proof is based on an infnite dimensional KAM theory and apartial Birkhoff normal form technique.
	TO cite this article:Gao Yixian,Chang Jing. Quasi-periodic Solutions for 2k Order Wave Equations[OL].[22 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4417792


	6. Centers and bifurcations of a switching quadratic system
	CHEN Xingwu
	Mathematics 18 March 2011
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	Abstract:In this paper we study the center problem and the limit cycle bifurcation of switching differential systems. Computing the generalized Lyapunov constants and decomposing their variety, we obtain the center condition of a switching quadratic system. Moreover, developing Christopher's method of finding limit cycles near centers for analytic systems, we prove that there are perturbations having 9 limit cycles near the center at the origin of the considered switching quadratic system.
	TO cite this article:CHEN Xingwu. Centers and bifurcations of a switching quadratic system[OL].[18 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4417051


	7. Morse decomposition and Lyapunov functions for dynamical systems
	LIU Zhenxin
	Mathematics 22 January 2011
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	Abstract:In this paper, we review Morse decomposition and Lyapunov functions. Most of the results are due to Conley and are known. Attractor-repeller pairs and Morse decompositions are very useful to study the inner structure of invariant sets for given dynamical systems. Lyapunov functions is helpful for us to study the stability of dynamical systems. We will review the relations between them.
	TO cite this article:LIU Zhenxin. Morse decomposition and Lyapunov functions for dynamical systems[OL].[22 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4408453


	8. Morse decomposition for random dynamical systems
	Liu Zhenxin
	Mathematics 20 January 2011
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	Abstract:It is well-known that Morse decomposition is very useful to study the inner structure of invariant sets for given dynamical systems. Recently, Morse decomposition is established for random dynamical systems, which can be used to investigate the inner structure of random invariant sets, e.g. random attractors. In this note, we review Morse decomposition theorem for random dynamical systems.
	TO cite this article:Liu Zhenxin. Morse decomposition for random dynamical systems[OL].[20 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4407986


	9. Invariant algebraic surfaces of the Chen system
	Deng Xijun ,Aiyong Chen
	Mathematics 04 May 2010
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	Abstract:In this paper, enlightened by the idea of the weight of a polynomial introduced by Peter Swinnerton-dyer [Peter Swinnerton-dyer, The invariant algebraic surfaces of the Lorenz system, Math.Proc.Camb.Phil.Soc. (2002), 132,385-393.], we find all the invariant algebraic surfaces of the Chen system x\
	TO cite this article:Deng Xijun ,Aiyong Chen. Invariant algebraic surfaces of the Chen system[OL].[ 4 May 2010] http://en.paper.edu.cn/en_releasepaper/content/42530


	10. Notes on a Theorem of Benci-Gluck-Ziller-Hayashi
	Zhang Shiqing
	Mathematics 27 September 2009
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	Abstract:We use constrained variational minimizing methods to study the existence of periodic solutions with a prescribed energy for a class of second order Hamiltonian systems with C^2 potential V function which has an unbounded upper level set, our result can be regarded as a complementary of the well-known Theorem of Benci-Gluck-Ziller and Hayashi.
	TO cite this article:Zhang Shiqing. Notes on a Theorem of Benci-Gluck-Ziller-Hayashi[OL].[27 September 2009] http://en.paper.edu.cn/en_releasepaper/content/35509

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