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There are 60 papers published in subject: > since this site started. |
Results per page: | 60 Total, 6 Pages | << First < Previous 3 4 5 6 |
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1. New Periodic Solutions for the Circular Restricted 3-Body and 4-Body Problems | |||
Zhang Shiqing,Yin Qunyao | |||
Mathematics 24 February 2009 | |||
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Abstract:For the circular restricted 3-body and 4-body problems in R^2, we prove the existence of new symmetric noncollision periodic solutions with some fixed winding numbers and masses.Our results should be useful in celestial mechanics. | |||
TO cite this article:Zhang Shiqing,Yin Qunyao. New Periodic Solutions for the Circular Restricted 3-Body and 4-Body Problems[OL].[24 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29566 |
2. Generalizations on Rabinowitz’s Theorems | |||
Zhang Shiqing | |||
Mathematics 20 February 2009 | |||
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Abstract:We use the famous Benci-Rabinowitz’s Saddle Point Theorem ([3])with Cerami-Palais-Smale condition to study the existence of new periodic solutions with a fixed period for second order Hamiltonian systems under weaker conditions than Rabinowitz’s original conditions in his pioneer paper([11]),the key point of our proof is proving Cerami-Palais-Smale condition,which is difficult since no symmetry for the potential. We use Rabinowitz’s Saddle Point Theorem to study periodic solution for sub-quadratic second order Hamiltonian systems. | |||
TO cite this article:Zhang Shiqing. Generalizations on Rabinowitz’s Theorems[OL].[20 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29417 |
3. 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 |
4. The Hausdorff dimension of average conformal repellers under random perturbation | |||
cao yongluo | |||
Mathematics 12 January 2009 | |||
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Abstract:In this paper, using thermodynamic formalism for sub-additive potential defined in [4], upper bounds of Hausdorff dimension and box dimension of non-conformal repellers are obtained. The map $f$ is only needed $C^1$, without additional condition. Furthermore, it is proved that all the upper bounds of Hausdorff dimension in [1,15,8] and ours are the same. In fact, it is proved that topological pressure for sub-additive potential in [4] is the same as it in [1,8] in which they need that $f$ satisfies $C^{1+\\\\gamma}$ and $\\\\gamma$-bunched condition. | |||
TO cite this article:cao yongluo. The Hausdorff dimension of average conformal repellers under random perturbation [OL].[12 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27618 |
5. O(N) ⊙cI_N-Equivariance of Polynomial-like Iterative Equations | |||
Weinian Zhang,Bing Xu | |||
Mathematics 12 December 2008 | |||
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Abstract:In order to investigate symmetric solutions of the polynomial-like iterative equation in RN ( N>=2 ), equivariance of solutions with respect to the orthogonal group O(N) is discussed in [Proc. Royal Soc. Edinburgh A130(2000), 1153-1163]. In this paper we extend this result to the group O(N) ⊙ | |||
TO cite this article:Weinian Zhang,Bing Xu. O(N) ⊙cI_N-Equivariance of Polynomial-like Iterative Equations[OL].[12 December 2008] http://en.paper.edu.cn/en_releasepaper/content/26566 |
6. Infinitely many solutions for an elliptic system | |||
Lihong Huang,Ronghui Hu | |||
Mathematics 31 March 2008 | |||
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Abstract:By using the generalized symmetric mountain pass theorem developed by Bartsch and Clapp through the limit relative category of Fournier et al, we prove the existence of infinitely many solutions for an elliptic system with Dirichlet boundary conditions. Some existing results are extended. | |||
TO cite this article:Lihong Huang,Ronghui Hu. Infinitely many solutions for an elliptic system[OL].[31 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19955 |
7. The global strong solution for Navier-Stokes equations in 3D thin domains with Navier-friction boundary conditions | |||
Hui Liu,Zhong ChengKui | |||
Mathematics 26 March 2008 | |||
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Abstract:In this paper, we consider Navier-Stokes equations in thin 3D thin domain with more general Navier-friction boundary conditions (2.4) (compare with boundary condition in [1]). We prove the global existence of strong solutions for the initial data and external forces are in larger sets, and existence of attractor of strong solutions, we generalize the results in [1]. | |||
TO cite this article:Hui Liu,Zhong ChengKui . The global strong solution for Navier-Stokes equations in 3D thin domains with Navier-friction boundary conditions[OL].[26 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19717 |
8. Dimensions of average conformal repeller | |||
Ban Jungchao,Cao Yongluo | |||
Mathematics 18 February 2008 | |||
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Abstract:In this paper, average conformal repeller is defined, which is generalization of conformal repeller. Using thermodynamic formalism for sub-additive potential defined in \\\\\\\\cite{cfh}, Hausdorff dimension and box dimension of average conformal repellers are obtained. The map $f$ is only needed $C^1$, without additional condition. | |||
TO cite this article:Ban Jungchao,Cao Yongluo. Dimensions of average conformal repeller[OL].[18 February 2008] http://en.paper.edu.cn/en_releasepaper/content/18710 |
9. Nonexistence of formal first integrals for general nonlinear systems under resonance | |||
Fang Liu,Shaoyun Shi,Zhiguo Xu | |||
Mathematics 19 December 2007 | |||
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Abstract:In the present paper, we consider the non-integrability for nonlinear system under the simple resonant case, i.e., the Jacobian matrix of vector field at some fixed point has some single multiply zero eigenvalues, and some nonzero eigenvalues which are $\\\\\\\\\\\\\\\\mathbb{N}$-independent. By using normal form theory, we give a necessary condition for this kind of system to have formal first integral. | |||
TO cite this article:Fang Liu,Shaoyun Shi,Zhiguo Xu. Nonexistence of formal first integrals for general nonlinear systems under resonance[OL].[19 December 2007] http://en.paper.edu.cn/en_releasepaper/content/17140 |
10. Effect of prey refuge on the dynamics and equilibrium density of | |||
Ma Zhihui ,Li Zizhen ,Wang Shufang | |||
Mathematics 30 October 2007 | |||
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Abstract:In this paper, we use an analytical approach to study the dynamics of the simplest forms of refuge using by prey. Here we incorporate prey refuge in a widely known continuous model|the Lotka-Volterra model. We will evaluate the effect of prey refuge with regard to the local stability of equilibrium points in the 痳st quadrant and equilibrium density values. The results show that the effect of prey refuge can enhance the stability of equilibrium points and equilibrium density of prey and predator populations. | |||
TO cite this article:Ma Zhihui ,Li Zizhen ,Wang Shufang . Effect of prey refuge on the dynamics and equilibrium density of[OL].[30 October 2007] http://en.paper.edu.cn/en_releasepaper/content/16034 |
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