Topics
Lie groupBand
The purpose of our work is to study the physical aspects of the application of the Lie group analysis to simple harmonic oscillators and related systems which can or cannot be canonical ones. The mathematical part of the problem has been studied by many authors. Quite recently L. Hubbard, C.Wulfman and H. Rabitz and C. Wulfman and H.Rabitz have developed a method for a group theoretical analysis applicable to a more general class of linear systems of Ordinary Differential Equations (ODE)
Lie symmetry analysis of differential equations provides a powerful and fundamental framework to the...
Group analysis is applied to overdetermined systems of ODES. If each ODE of the system admits the sa...
These notes began as lectures that I intended to deliver in Edinburgh in April, 1999. Unfortunately ...
The purpose of our work is to study the physical aspects of the application of the Lie group analysi...
In general, a physical system has invariant quantities which are very often related to its symmetry ...
AbstractThe aim of this paper is to establish the group nature of all separable solutions and conser...
The formal models of physical systems are typically written in terms of differential equations. A tr...
Abstract: The formal models of physical systems are typically written in terms of differential equat...
It will be shown that together with the traditional problems of motions of systems whose configurati...
Group Analysis of Differential Equations provides a systematic exposition of the theory of Lie group...
The formal models of physical systems are typically written in terms of differential equations. A tr...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
Recent work has established that a group theoretical viewpoint of completely integrable dynamical sy...
Lie's method of extended groups of point transformations is applied to a class of time-dependent, no...
We associate with each simple Lie algebra a system of second-order differential equations invariant ...
Lie symmetry analysis of differential equations provides a powerful and fundamental framework to the...
Group analysis is applied to overdetermined systems of ODES. If each ODE of the system admits the sa...
These notes began as lectures that I intended to deliver in Edinburgh in April, 1999. Unfortunately ...
The purpose of our work is to study the physical aspects of the application of the Lie group analysi...
In general, a physical system has invariant quantities which are very often related to its symmetry ...
AbstractThe aim of this paper is to establish the group nature of all separable solutions and conser...
The formal models of physical systems are typically written in terms of differential equations. A tr...
Abstract: The formal models of physical systems are typically written in terms of differential equat...
It will be shown that together with the traditional problems of motions of systems whose configurati...
Group Analysis of Differential Equations provides a systematic exposition of the theory of Lie group...
The formal models of physical systems are typically written in terms of differential equations. A tr...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
Recent work has established that a group theoretical viewpoint of completely integrable dynamical sy...
Lie's method of extended groups of point transformations is applied to a class of time-dependent, no...
We associate with each simple Lie algebra a system of second-order differential equations invariant ...
Lie symmetry analysis of differential equations provides a powerful and fundamental framework to the...
Group analysis is applied to overdetermined systems of ODES. If each ODE of the system admits the sa...
These notes began as lectures that I intended to deliver in Edinburgh in April, 1999. Unfortunately ...
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