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Search Results: 1 - 10 of 34489 matches for " Zhou Jinxin "
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Cubic Vertex-Transitive Graphs of Order 4p

ZHOU Jinxin,

系统科学与数学 , 2008,
Abstract: A graph is said to be vertex-transitive, if its automorphism group is transitive on its vertices. In this paper, it is proven that a connected cubic vertex-transitive graph of order 4p (p a prime) is either a Cayley graph or isomorphic to one of the following: the generalized Petersen graph P(10,2), the Dodecahedron, the Coxeter graph, or the generalized Petersen graph P(2p,k) where k^2\equiv -1(\mod 2p).
Continuous averaging proof of the Nekhoroshev theorem
Jinxin Xue
Mathematics , 2012,
Abstract: In this paper we develop the continuous averaging method of Treschev to work on the simultaneous Diophantine approximation and apply the result to give a new proof of the Nekhoroshev theorem. We obtain a sharp normal form theorem and an explicit estimate of the stability constants appearing in the Nekhoroshev theorem.
Arnold Diffusion in a Restricted Planar Four-Body Problem
Jinxin Xue
Mathematics , 2012,
Abstract: This paper constructs a certain planar four-body problem which exhibits fast energy growth. The system considered is a quasi-periodic perturbation of the Restricted Planar Circular three-body Problem (RPC3BP). Gelfreich-Turaev's and de la Llave's mechanism is employed to obtain the fast energy growth. The diffusion is created by a heteroclinic cycle formed by two Lyapunov periodic orbits surrounding $L_1$ and $L_2$ Lagrangian points and their heteroclinic intersections. Our model is the first known example in celestial mechanics of the a priori chaotic case of Arnold diffusion.
Noncollision Singularities in a Planar Four-body Problem
Jinxin Xue
Mathematics , 2014,
Abstract: In this paper, we show that there is a Cantor set of initial conditions in a planar four-body problem such that all the four bodies escape to infinity in finite time avoiding collisions. This proves the Painlev\'e conjecture for the four-body case, thus settles the conjecture completely.
Existence of noncontractible periodic orbits of Hamiltonian system separating two Lagrangian tori on $T^*\T^n$ with application to non convex Hamiltonian systems
Jinxin Xue
Mathematics , 2014,
Abstract: In this paper, we show the existence of non contractible periodic orbits in Hamiltonian systems defined on $T^*\T^n$ separating two Lagrangian tori under certain cone assumption. Our result answers a question of Polterovich in \cite{P} in a sharp way. As an application, we find periodic orbits of almost all the homotopy types on a dense set of energy level in Lorentzian type mechanical Hamiltonian systems defined on $T^*\T^2$. This solves a problem of Arnold in \cite{A}.

Xu Mingyao,Zhang Qinhai,Zhou Jinxin,

系统科学与数学 , 2005,
Abstract: A direced Cayley graph $X=\cay(G, S)$ is called normal for $G$ if the right representation $R(G)$ of $G$ is normal in the full automorphism group $\Aut (X)$. In this paper, we determine all non-normal directed Cayley graphs of finite abelian groups with valencies 2 and 3. Using the result, we give a complete classification of connected directed arc-transitive graphs of order $p^n$ ($n\leq 2, p$ an odd prime) with valency at most 3.
Design and Application of Optimization Software for Substation Operation Mode Based on EMS  [PDF]
Nannan Gao, Jinxin Huang, Hongbo Li
Energy and Power Engineering (EPE) , 2013, DOI: 10.4236/epe.2013.54B133

This paper proposes a kind of optimization software for substation operation mode, which can not only read data on-line from EMS, but also calculate total loss of substations in parallel operation, split operation or individual operation mode. It can also select the most optimized way and feed the conclusion back to EMS to make substations operate in the most optimized way. The software is suitable for optimization of substation in rural power grid.

Modeling and Optimization of Capacitive Converter for Energy Scavenging System  [PDF]
Jinxin Huang, Nannan Gao, Hongbo Li
Energy and Power Engineering (EPE) , 2013, DOI: 10.4236/epe.2013.54B022
Abstract: A new converter with spherical cap for energy scavenging is proposed. Based on the method of separated variables within the torrid coordinate system, a corresponding analytical model for spherical cap converter is further established so as to obtain the analytic expressions of the topology capacitance and the output voltage. The concept of energy increment factor is specifically defined to denote the improvement of energy storage efficiency. With regard to spherical cap converters of different dimensions, the measured values of energy increment factor coincide well with the theoretical equivalents, indicating an effective verification of the proposed analytical model for the spherical cap converter topology.

Luo Jinxian,Zhou Zhenlin,Li Zhenlin,Hu Jinxin,

环境科学学报 , 1988,
Abstract: 以pBR322为载体,将抗镉的假单胞杆菌R4染色体的抗镉基因克隆至大肠杆菌HB101,从5000个重组体中筛选出一株抗镉基因克隆株,命名为大肠杆菌HB101(pBC311)。重组质粒pBC311经PstⅠ酶解和琼脂糖凝胶电泳证实抗镉基因位于3.6kb长的PstⅠ片段上。克隆菌株可在含100μg/ml CdCl_2的L-肉汤中生长,其生长停滞期比受体大肠杆菌HB101短得多,说明克隆菌株含有抗镉基因。
Non-Collision singularities in the Planar two-Center-two-Body problem
Jinxin Xue,Dmitry Dolgopyat
Mathematics , 2013,
Abstract: In this paper, we study a model of simplified four-body problem called planar two-center-two-body problem. In the plane, we have two fixed centers $Q_1=(-\chi,0)$, $Q_2=(0,0)$ of masses 1, and two moving bodies $Q_3$ and $Q_4$ of masses $\mu\ll 1$. They interact via Newtonian potential. $Q_3$ is captured by $Q_2$, and $Q_4$ travels back and forth between two centers. Based on a model of Gerver, we prove that there is a Cantor set of initial conditions which lead to solutions of the Hamiltonian system whose velocities are accelerated to infinity within finite time avoiding all early collisions. We consider this model as a simplified model for the planar four-body problem case of the Painlev\'{e} conjecture.
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