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	1. Global attractors for nonlinear parabolic equations with irregular data
	Chai Xiaojuan,Niu Wei-Sheng
	Mathematics 10 October 2015
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (0 B)

	Abstract:This paper is concerned with the large time behavior of solutions to a class of nonlinear parabolic equations with irregular data. Under properassumptions, we prove the existence and uniqueness of the entropy solution to the problem. Then we establish some regularity results on the solution, by which we prove the existence of a global attractor for the solution semigroup
	TO cite this article:Chai Xiaojuan,Niu Wei-Sheng. Global attractors for nonlinear parabolic equations with irregular data [OL].[10 October 2015] http://en.paper.edu.cn/en_releasepaper/content/4657289


	2. Chaos and control of a generalized higher-order nonlinearSchr
	Li Min, Lei Wang, Feng-HuaQi
	Mathematics 25 August 2015
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	Abstract:The nonlinear dynamics of a generalized higher-ordernonlinear Schr"{o}dinger (HNLS) equation with a periodic externalperturbation is investigated numerically. Via the phase planeanalysis, it's found that both the homoclinic orbits andheteroclinic orbits can exist for the unperturbed HNLS equationunder certain conditions. Moreover, under the effect of the periodicexternal perturbation, the quasi-periodic bifurcations arise and canevolve into the chaos. The dynamical responses of the perturbed HNLSequation with regard to the perturbation strength are simulatedthrough the bifurcation diagrams, maximum Lyapunov exponents andphase portraits, which further prove the existence of the chaos forthe HNLS equation with a periodic external perturbation.Furthermore, two methods are used to control the chaos effectively,which can make the chaotic motions evolve into the stablequasi-periodic orbits. Those studies are helpful to reveal thedynamical properties of the HNLS equation.
	TO cite this article:Li Min, Lei Wang, Feng-HuaQi. Chaos and control of a generalized higher-order nonlinearSchr[OL].[25 August 2015] http://en.paper.edu.cn/en_releasepaper/content/4653119


	3. Multiple limit cycles for three-dimensional Lotka-Volterra systems
	LUO Yong, LU Gui-Chen, LU Zheng-Yi
	Mathematics 31 December 2014
	Show/Hide Abstract \| Cite this paper︱Full-text: PDF (0 B)

	Abstract:Multiple limit cycles are shown to appear in three-dimensional Lotka-Volterra systems with various types of interactions formed by mutualism, competition and prey-predator. In this paper, under the density dependance and the nonzero off-diagonal elements of interaction matrix, we classify the three-dimensional Lotka-Volterra systems into ten classes and show that besides the known results for classes 2, 3, 5 and 9, in each class of the remaining six ones, a corresponding system can be constructed to have at least two or three limit cycles based on an algorithmic construction method proposed by Hofbauer and So with a modification of Lu and Luo.
	TO cite this article:LUO Yong, LU Gui-Chen, LU Zheng-Yi. Multiple limit cycles for three-dimensional Lotka-Volterra systems[OL].[31 December 2014] http://en.paper.edu.cn/en_releasepaper/content/4626241


	4. Rabinowitz＇s Saddle Point Theorem and Periodic Solutions of Singular Hamiltonian Systems
	Zhang Shiqing
	Mathematics 06 February 2009
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	Abstract:Using Rabinowitz＇s Saddle Point Theorem ,we get new periodic solutions for singular Hamiltonian systems without any symmetry
	TO cite this article:Zhang Shiqing. Rabinowitz＇s Saddle Point Theorem and Periodic Solutions of Singular Hamiltonian Systems[OL].[ 6 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28498

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