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algebraic structure and Poisson＇s theory of mechanico-electrical systems

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Chinese Physics B 2006年第8期15卷 1653-1661页

作者：刘鸿基唐贻发傅景礼 Department of Physics Shangqiu Teachers College Shangqiu 476000 China State Key Laboratory of Scientific and Engineering Computing Chinese Academy of Sciences Beijing 100080 China Institute of Mathematical Physics Zhejiang Sci-Tech University Hangzhou 310018 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai 200072 China

The algebraic structure and Poisson＇s integral theory of mechanico-electrical systems are studied. The Hamilton canonical equations and generalized Hamilton canonical equations and their the contravariant algebraic forms for mechanico-electrical systems are obtained. The Lie algebraic structure and the Poisson＇s integral theory of Lagrange mechanico-electrical systems are derived. The Lie algebraic structure admitted and Poisson＇s integral theory of the Lagrange-Maxwell mechanico-electrical systems are presented. Two examples are presented to illustrate these results.

关键词： algebraic structure Poisson integral method mechanico-electrical system

algebraic structure and Poisson integrals of a rotational relativistic Birkhoff system

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Chinese Physics B 2002年第6期11卷 523-528页

作者：罗绍凯陈向炜等 InstituteofMathematicalMechanicsandMathematicalPhysics ChangshaUniversityChangsha410003China InstituteofMathematicalmechanicsandMathematicalPhysics ShangqiuTeachersCollegeShangqiu

We have studied the algebraic structure of the dynamical equations of a rotational relativistic Birkhoff system. It is proven that autonomous and semi-autonomous rotational relativistic Birkhoff equations possess consistent algebraic structure and Lie algebraic structure. In general, non-autonomous rotational relativistic Birkhoff equations possess no algebraic structure, but a type of special non-autonomous rotational relativistic Birkhoff equation possesses consistent algebraic structure and consistent Lie algebraic structure. Then, we obtain the Poisson integrals of the dynamical equations of the rotational relativistic Birkhoff system. Finally, we give an example to illustrate the application of the results.

关键词： rotational relativity Birkhoff equation algebraic structure Poisson integral

algebraic structure and Poisson method for a weakly nonholonomic system

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Theoretical & Applied Mechanics Letters 2011年第2期1卷 73-75页

作者： Fengxiang Mei and Huibin Wu~(a) Faculty of Science,Beijing Institute of Technology,Beijing 100081,China Faculty of Science Beijing Institute of Technology Beijing 100081 China

The algebraic structure and the Poisson method for a weakly nonholonomic system are *** differential equations of motion of the system can be written in a contravariant algebra form and its algebraic structure is *** Poisson theory for the systems which possess Lie algebra structure is generalized to the weakly nonholonomic *** example is given to illustrate the application of the result.

关键词： weakly nonholonomic system algebraic structure Poisson method

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algebraic structureS AND POISSON INTEGRALS OF RELATIVISTIC DYNAMICAL EQUATIONS FOR ROTATIONALSYSTEMS

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Applied Mathematics and Mechanics(English Edition) 1999年第11期20卷 1266-1274页

作者：傅景礼陈向炜罗绍凯 Shangqiu Teachers College Shangqiu P R China

The algebraic structures of the dynamical equations for the rotational relativistic systems are studied. It is found that the dynamical equations of holonomic conservative rotational relativistic systems and the special nonholonomic rotational relativistic systems have Lie's algebraic structure, and the dynamical equations of the general holonomic rotational relativistic systems and the general nonholonomic rotational relativistic systems have Lie admitted algebraic structure. At last the Poisson integrals of the dynamical equations for the rotational relativistic systems are given.

关键词： rotational systems relativity analytic mechanics equation of motion algebraic structure Poisson integral

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Isomorphic Transformations of Uncertaintiesfor Incorporating EMYCIN-Style andPROSPECTOR-Style Systems intoa Distributed Expert System

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Journal of Computer Science & Technology 1999年第4期14卷 386-392页

作者：张成奇罗旭东 SchoolofComputingandMathematics DeakinUniversityGeelongVictoria3217Australia DepartmentofComputerS

In the past, expert systems exploited mainly the EMYCIN modeland the PROSPECTOR model to deal with uncertainties. In other words, a lot ofstand-alone expert systems which use these two models are available. If we can usethe Internet to couple them together, their performance will be improved throughcooperation. This is because the problem-solving ability of expert systems is greatlyimproved by the way of cooperation among different expert systems in a distributedexpert system. Cooperation between different expert systems with these two het-erogeneous uncertain reasoning models is essentially based on the transformations ofuncertainties of propositions between these two models. In this paper, we discoveredthe exactly isomorphic transformations uncertainties between uncertain reasoningmodels, as used by EMYCIN and PROSPECTOR.

关键词： algebraic structure cooperation distributed expert systems iso-morphic transformation uncertain reasoning group

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The Analysis of Ill Posedness in GNSS High-Precision Differential Positioning

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The Analysis of Ill Posedness in GNSS High-Precision Differe...