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	1. Quasi-periodic Solutions of Completely Resonant Forced Beam Equations
	Gao Yixian,Chen Bochao
	Mathematics 21 October 2013
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	Abstract:This paper is concerned with the existence of quasi-periodic solutions with two frequencies of completely resonant, periodically forced nonlinear beam equations subject to periodic spatial boundary conditions. We consider both the cases the forcing frequency is: (Case A) a rational number and (Case B) an irrational number. The proofs are based on the variational Lyapunov-Schmidt reduction and the linking theorem.
	TO cite this article:Gao Yixian,Chen Bochao. Quasi-periodic Solutions of Completely Resonant Forced Beam Equations[OL].[21 October 2013] http://en.paper.edu.cn/en_releasepaper/content/4565116


	2. Maximal Integral Against Observable Measures
	ZHAO Yun
	Mathematics 28 May 2013
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	Abstract: For continuous self-maps of compact manifolds and a given real-valued continuous function, this paper studies ergodic optimization of this function among observable measures. An equality and inequality between various notions of maximal observable ergodic average is obtained. And examples are provided to show that this result is optimal. This paper also establishes the stability of unique maximal observable measures.
	TO cite this article:ZHAO Yun. Maximal Integral Against Observable Measures[OL].[28 May 2013] http://en.paper.edu.cn/en_releasepaper/content/4545703

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	3. Study of some polynomial dynamical systems in Qp
	LIAO Lingmin
	Mathematics 26 February 2013
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	Abstract:Polynomial dynamical systems in Qp are studied. Among others, an example of cubic polynomial admitting a dynamical structure which has never been observed, is well studied.
	TO cite this article:LIAO Lingmin. Study of some polynomial dynamical systems in Qp[OL].[26 February 2013] http://en.paper.edu.cn/en_releasepaper/content/4521384


	4. Action minimizing measures for nearly integrable generalized Hamiltonian systems
	WANG Kaizhi,LI Yong
	Mathematics 11 January 2013
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	Abstract:In this article, we study the existence of action minimizing measures for a class of nearly integrable, generalized Hamiltonian systems. The invariant sets, which support the action minimizing measures, are generalizations of invariant tori.The proof in this paper is variational in nature, and involves the minimization of the functional introducedby Evans L.. After giving an a priori estimate of gradients of the minimizers and defining thegeneralized Legendre transformation, a modified version of weak KAM techniques is available to obtain action minimizing measures for the generalized Hamiltonian system.
	TO cite this article:WANG Kaizhi,LI Yong. Action minimizing measures for nearly integrable generalized Hamiltonian systems[OL].[11 January 2013] http://en.paper.edu.cn/en_releasepaper/content/4513553


	5. Lower dimensional action minimizing measures for nearly integrable Hamiltonian systems
	WANG Kaizhi,LI Yong
	Mathematics 11 January 2013
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	Abstract:In this article, we develop a parametrized weak KAM technique, whichcan be regarded as a generalization from the finite dimensional case to the infinite dimensional case of partial results in the weak KAM theory. In such a framework, applying the technique to the nearly integrable convex Hamiltonian systems locally, we obtain the existence of lower dimensional action minimizing measures. The lower dimensional invariant sets, which support the action minimizing measures, are generalizations of lower dimensional invariant tori. Furthermore, we attempt to generalize our main result to the nonconvex case. Under certain weaker conditions than strict convexity, we still provide an existence result of lower dimensional action minimizing measures for the nearly integrable Hamiltonian systems.
	TO cite this article:WANG Kaizhi,LI Yong. Lower dimensional action minimizing measures for nearly integrable Hamiltonian systems[OL].[11 January 2013] http://en.paper.edu.cn/en_releasepaper/content/4514044


	6. Chaos in nonautonomous discrete dynamical systems approached by their subsystems
	SHI Yuming
	Mathematics 17 April 2012
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	Abstract:A nonautonomous discrete dynamical systemis generated by a given sequence of maps. A new type of subsystem of it isintroduced. It is generated by a sequence of mapsthat are partial compositions of the given sequence of maps in the original orderso that every orbit of the subsystem is a part of anorbit of the original system starting from a same initial point.A concept of chaos in the strong sense of Wiggins is introduced.Some close relationships between chaotic dynamical behaviorsof the original system and its subsystems are given, includingchaos in the (strong) sense of Li-Yorke and Wiggins.By applying these relationships, several criteria of chaos are establishedand some sufficient conditions for no chaos are given for nonautonomous discrete systems.
	TO cite this article:SHI Yuming. Chaos in nonautonomous discrete dynamical systems approached by their subsystems[OL].[17 April 2012] http://en.paper.edu.cn/en_releasepaper/content/4475266


	7. Gevrey regularity of invariant curves ofanalytic area preserving mappings
	ZHANG Dongfeng
	Mathematics 08 January 2012
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	Abstract:In this paper we prove the existence of aGevrey family of invariant curves for analytic area preserving mappings.The Gevrey smoothness is expressedby Gevrey index. we specifically obtain the Gevreyindex of invariant curve which is related to smoothness ofarea preserving mapping and the exponent of the smalldivisors condition. Moreover, weobtain a Gevrey normal form of the area preserving mappings in aneighborhood of the union of the invariantcurves.
	TO cite this article:ZHANG Dongfeng. Gevrey regularity of invariant curves ofanalytic area preserving mappings[OL].[ 8 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4460611


	8. On invariant curves ofanalytic non-twist area preserving mappings
	ZHANG Dongfeng
	Mathematics 06 January 2012
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	Abstract:In this paper we consider small perturbation of analytic non-twistarea preserving mappings, and prove the existence of invariantcurve by KAM iteration. As we know if the twist condition is not satisfied, the frequency of invariant curve may have some drift. But in this paper, we prove that the frequency of invariant curve persists without any drift.
	TO cite this article:ZHANG Dongfeng. On invariant curves ofanalytic non-twist area preserving mappings[OL].[ 6 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4460285


	9. Advances on Non-monotonic Iterative Roots
	ZHANG Weinian
	Mathematics 05 January 2012
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	Abstract:It has been treated as a difficult problem to find iterative roots of non-monotonic functions. In 1980's PM functions, a class of non-monotonic functions, were discussed by J.-Z. Zhang and L. Yang for continuous iterative roots. For those PM functions which do not increase the number of forts under iteration a method was given to obtain a non-monotonic iterative root by extending a monotone iterative root from the characteristic interval, while two open questions were raised. In 2001 another interesting question was proposed by C.-T. Ng. This paper shows some advances for these questions.
	TO cite this article:ZHANG Weinian. Advances on Non-monotonic Iterative Roots[OL].[ 5 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4459336


	10. Uniform Exponential Attractor For Nonautonomous Partly DissipativeLattice Dynamical System
	ZHOU Sheng-Fan, Lou Jia-Jia
	Mathematics 04 January 2012
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	Abstract:In this paper, we consider the existence of auniform exponential attractor for the nonautonomous partly dissipativelattice dynamical system with quasiperiodic external forces. First we prove the existence and uniqueness of solutions and the solution mapping generates a continuous process on the phase space. Second we consider the uniformly boundedness of the solutions and the existence of a bounded absorbing set. Then we prove the Lipschitz property of solutions and obtain the estimation between two solutions by the method of ``end estimate". Finally we get the existence of a uniform exponential attractor for the continuous process associated with the considered system.
	TO cite this article:ZHOU Sheng-Fan, Lou Jia-Jia. Uniform Exponential Attractor For Nonautonomous Partly DissipativeLattice Dynamical System[OL].[ 4 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4459738

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