An example of symbolic computation of Lyapunov quantities in Maple
نویسنده
چکیده
In the present paper a realization of a classical method for Lyapunov quantities computation in Maple is considered. Key–Words: Lyapunov quantity, focus values, symbolic computation, small-amplitude limit cycles, Maple, Hilbert 16th problem
منابع مشابه
Normal forms of Hopf Singularities: Focus Values Along with some Applications in Physics
This paper aims to introduce the original ideas of normal form theory and bifurcation analysis and control of small amplitude limit cycles in a non-technical terms so that it would be comprehensible to wide ranges of Persian speaking engineers and physicists. The history of normal form goes back to more than one hundreds ago, that is to the original ideas coming from Henry Poincare. This tool p...
متن کاملEngine Control System Development and Symbolic Manipulation - Application and Challenges in Modelling -
The integrated use of symbolic and numeric technologies is presented through application examples in automotive industry. The effectiveness of such an integrated approach is emphasized by showing concrete uses of symbolic manipulation and numerical computation in Maple [1]. In the first of the two examples, the chemical equilibrium of combustion phenomena which is a constrained optimization pro...
متن کاملPROCRUSTES: A computer algebra package for post-Newtonian calculations in General Relativity
We report on a package of routines for the computer algebra system Maple which supports the explicit determination of the geometric quantities, field equations, equations of motion, and conserved quantities of General Relativity in the postNewtonian approximation. The package structure is modular and allows for an easy modification by the user. The set of routines can be used to verify hand cal...
متن کاملAPPLICATION OF EXP-FUNCTION METHOD TO THE (2+1)-DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
In this paper, the Exp-function method, with the aid of a symbolic computation system such as Maple, is applied to the (2+1) -dimensional Calogero Bogoyavlanskii Schiff equation. Exact and explicit generalized solitary solutions are obtained in more general forms. The free parameters can be determined by initial or boundary conditions. The method is straightforward and concise, and its applicat...
متن کامل"E pluribus unum" or How to Derive Single-equation Descriptions for Output-quantities in Nonlinear Circuits using Differential Algebra
In this paper we describe by a number of examples how to deduce one single characterizing higher order differential equation for output quantities of an analog circuit. In the linear case, we apply basic ”symbolic” methods from linear algebra to the system of differential equations which is used to model the analog circuit. For nonlinear circuits and their corresponding nonlinear differential e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012