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Search Results: 1 - 10 of 36180 matches for " singular Lagrange system "
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Exact invariants and adiabatic invariants of the singular Lagrange system

Chen Xiang-Wei,Li Yan-Min,

中国物理 B , 2003,
Abstract: Based on the theory of symmetries and conserved quantities of the singular Lagrange system, the perturbations to the symmetries and adiabatic invariants of the singular Lagrange systems are discussed. Firstly, the concept of higher-order adiabatic invariants of the singular Lagrange system is proposed. Then, the conditions for the existence of the exact invariants and adiabatic invariants are proved, and their forms are given. Finally, an example is presented to illustrate these results.
Compensación Automática de Fuerzas Dinámicas en Sistema Rotatorios
Meraz Melo, Marco Antonio;Majewski Szymiec, Tadeusz;Mu?oz Hernández, Germán Ardul;
Computación y Sistemas , 2010,
Abstract: the main objective of this thesis is the development of parameter representations which are interconnected in flexible rotor and autobalance systems coupled. this goal consists in achieving independent set of differential equations for each section of the shaft and applying stiffness method to obtain a global matrix. these models have been used to analyze elastic and inertial properties of rotors. after we obtain a global matrix, we can establish a set of differential equations, which may be simulated by software and analyzed stability and dynamical behavior of our complete system. inertial associated coefficients have been founded in this model, by the way; effects by each section and connections have been gotten. dynamical behavior of balls and rotor has been analyzed by lagrange method to get a differential equations system. in the case of a single rotor and a single drum (with balls) in different plane, an experimental model was developed; theoretical (software) and experimental results were similar, and this showed the efficiency of the balancing method. there are several conditions of mass, stiffness and frequency which system works, these characteristics were founded.
Uniform Difference Scheme on the Singularly Perturbed System  [PDF]
Ilhame G. Amiraliyeva
Applied Mathematics (AM) , 2012, DOI: 10.4236/am.2012.39152
Abstract: This paper is concerned with the numerical solution for singular perturbation system of two coupled second ordinary differential equations with initial and boundary conditions, respectively. Fitted finite difference scheme on a uniform mesh, whose solution converges pointwise independently of the singular perturbation parameter is constructed and analyzed.
Error Estimates for the Difference Method to System of Ordinary Differential Equations with Boundary Layer  [PDF]
Ilhame Amirali
Journal of Applied Mathematics and Physics (JAMP) , 2013, DOI: 10.4236/jamp.2013.15012
Abstract:

This work deals with the numerical solution of singular perturbation system of ordinary differential equations with boundary layer. For the numerical solution of this problem fitted finite difference scheme on a uniform mesh is constructed and analyzed. The uniform error estimates for the approximate solution are obtained.

SUBOPTIMAL FILTERING FOR A SINGULAR DISCRETE-TIME STOCHASTIC LINEAR SYSTEM

科学通报(英文版) , 1990,
Abstract:
Bessel Function and Damped Simple Harmonic Motion  [PDF]
Masoud Asadi-Zeydabadi
Journal of Applied Mathematics and Physics (JAMP) , 2014, DOI: 10.4236/jamp.2014.24004
Abstract:

A glance at Bessel functions shows they behave similar to the damped sinusoidal function. In this paper two physical examples (pendulum and spring-mass system with linearly increasing length and mass respectively) have been used as evidence for this observation. It is shown in this paper how Bessel functions can be approximated by the damped sinusoidal function. The numerical method that is introduced works very well in adiabatic condition (slow change) or in small time (independent variable) intervals. The results are also compared with the Lagrange polynomial.

A kind of conserved quantity of Mei symmetry for Lagrange system
Lagrange系统Mei对称性直接导致的一种守恒量

Fang Jian-Hui,
方建会

物理学报 , 2009,
Abstract: A kind of conserved quantity which is directly induced by Mei symmetry of Lagrange system is studied. The definition and criterion of Mei symmetry for Lagrange system are given. The condition under which Mei symmetry can lead to a conserved quantity and the form of the conserved quantity are obtained. An example is given to illustrate the application of the result.
Symmetries of Lagrange system subjected to gyroscopic forces
Lagrange系统在施加陀螺力后的对称性

Wu Hui-Bin,Mei Feng-Xiang,
吴惠彬
,梅凤翔

物理学报 , 2005,
Abstract: The Noether symmetry and Lie symmetry of the Lagrange system subjected to gyroscopic forces are studied. The condition that the system, under gyroscopic forces , can keep its Noether symmetry and Noether conserved quantity is given. And the condition that the system subjected to gyroscopic forces can keep its Lie symme try and Hojman conserved quantity is also given. Finally, two examples are given to illustrate the application of the results.
The Application of Wu Elimination Method and Wu Differential Characteristic Set Method to Lagrange System
吴消元法和吴微分特征列法在 Lagrange系统中的应用

JIA Yi-Feng,CHEN Yu-Fu,XU Zhi-Qiang,
贾屹峰
,陈玉福,许志强

中国科学院研究生院学报 , 2006,
Abstract: In this paper,the polynomial type Lagrange equation of finite dimensional constrained dynamics is considered,and four possibilities of Euler-Lagrange equations possibilities are analysed.Based on Wu elimination method and Wu differential characteristic set method,two algorithms are presented for determining the four possibilities.Using the two algorithms,without calculating the rank of Hessian matrix,which case of the four possibilities of the Euler-Lagrange equations is determined,and the corresponding results are obtained.On the symbolic computation software platform,the two algorithms can be executed in computers.
Lie-form invariance of the Lagrange system
Lagrange系统的Lie-形式不变性

Wu Hui-Bin,
吴惠彬

中国物理 B , 2005,
Abstract: In this paper, the Lie-form invariance of the Lagrange system is studied. The definition and the criterion of the Lie-form invariance of the Lagrange system are given. The Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, two examples are presented to illustrate the application of the results.
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