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FINITE GROUPS WITH SCHMIDT GROUP AS AUTOMORPHISM GROUP

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Chinese Annals of Mathematics,Series B 1992年第1期13卷 105-109页

作者：陈贵云 department of Mathematics Southwest China Normal UniversityChongqingSichuan 630715China.

This paper continues the work of ***,***（***.81A,2.9—2.5;83A,189—196）and the author（***,90A,57—62.*** china normal {2. 15,No.1,2..—2.）on the topic on“Finite groupswith given Automorphism group”.The following result is proved:Let G be a finite group with Aut G a Schmidt *** G is isomorphic toS3 or Klain 4-group.,or D such that Aut D=Inn D.D is aSchmidt group of order 2.sup>?p.S2./sub>（∈Syl2./sub>D）is a normal and special group exoept asupersperspecial group without commutative generators.

关键词： isomorphic commutative nilpotent subgroup exponent maximal southwest outer 双夕卜夕

Cartesian closedness of categories of completely distributive lattices

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Chinese Science Bulletin 1998年第24期43卷 2059-2063页

作者： ZHANG Dexue 1 and YANG Zhongqiang 2.1. department of Mathematics, Sichuan university, Chengdu 610064,{2. 2. department of Mathematics, Shaanxi normal university, Xi’an 710062.{2. department of Mathematics Sichuan University Chengdu China department of Mathematics Shaanxi Normal University Xi’an China

The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category ... 详细信息

关键词： completely distributive lattice continuous lattice cartesian closedness.

Dimension and measure theoretic entropy of a subshift in symbolic space

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Chinese Science Bulletin 1997年第14期42卷 1193-1196页

作者： CHEN Ercai and XIONG Jincheng1. department of Astronomy, Nanjing university, Nangjing 2.0093,{2. 2. department of Mathematics, South{2. normal university, Guangzhou 510631,{2. department of Astronomy Nanjing University Nangjing China department of Mathematics South China Normal University Guangzhou China

1 Definitions and resultsWITH the development of the theory of dynamical systems and fractal geometry, one provedthat symbolic dynamics is a powerful tool to study chaos and fractals. It is useful to study thefractal characteristics of symbolic dynamics. In the present note we shall point out the relationbetween the dimension and measure theoretic entropy of any subshift in symbolic space. Weprove here that the Bowen’s formula for Hausdorff dimension holds without Markov struc-ture. A variational principle for dimension is obtained.

关键词： symbolic space subshift measure theoretic entropy dimension.

BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN

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Acta Mathematica Scientia 2007年第1期27卷 92-106页

作者：穆春来胡学刚李玉环崔泽键 College of Mathematics and physics chongqing {2. Institute of Applied Mathematics chongqing university of Posts and Telecommunications department of Mathematics Sichuan normal {2. department of Mathematics china West {2. university

This article deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut= △u^l ＋ u^p1v^q1 and vt = △v ^m ＋ u^p2.v^q2.with homogeneous Dirichlet boundary conditions. The results depend crucially on the sign of the difference p2.1 - （l -p1）（m- q2., the initial data, and the domain Ω.

关键词： Global existence blow-up degenerate parabolic system

Output Rate of Atomic Four-Wave Mixing in Two-Component Bose-Einstein Condensate

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Communications in Theoretical physics 2004年第5期41卷 695-698页

作者： LI Jia-Hua~1 LI Wei-Bing~1 PENG Ju-Cun~2.1 department of physics,Huazhong {2. of Science and Technology,Wuhan 430074,china2.department of physics,Xiaogan normal {2.,Xiaogan 432.00,china department of physics Huazhong University of Science and Technology Wuhan 430074 China department of physics Xiaogan Normal University Xiaogan 432100 China

In this letter,following the proposal of Heurich et al.[***.A63(2.01)033605],we analyze anddiscuss output rate of atomic four-wave mixing in the two-component Bose-Einstein condensate under the condition ofthe steady *** results show that the magnitude of the signal beam increases with the increase of the intensityof the probe beam,up to a saturated value,then it decreases as the probe beam *** influence of theinteraction range on the signal beam is also *** particular,it is worth while pointing out that in contrast tothe previous solutions,our obtained analytical solutions are of very simple and explicit forms,which open the door forfurther investigating the related physical mechanisms.

关键词： atomic four-wave mixing steady state Bose-Einstein condensate