THE ALGORITHMS FOR CONSTRUCTING THE BOUNDARIES OF THE STABILITY REGIONS OF LINEAR HAMILTONIAN SYSTEMS BY USING MATLAB
Journal Title: Современные информационные технологии и ИТ-образование - Year 2017, Vol 13, Issue 4
Abstract
The article presents the main stages of the algorithm for constructing the stability regions of dynamical systems described by a linear Hamiltonian system of the form . The algorithm is based on the methods of the theory of nonlinear oscillations of stability studies of stationary solutions of linear differential equations with periodic coefficients depending on a small parameter. The algorithm is implemented by using Matlab CAS. As an application, we have solved the problem of constructing the stability region of libration points of a flat elliptic restricted three-body problem is analyzed in detail.
Authors and Affiliations
Marat Yumagulov, Anna Belova
Keywords
Related Articles
- EP ID EP266393
- DOI 10.25559/SITITO.2017.4.525
- Views 101
- Downloads 0
DIGITAL ECONOMY: METHODOLOGICAL INSTRUMENTS OF CONFIGURATION, PLANNING, MAINTENANCE
The relevance of a problem to a present situation is explained by rapid development of digital economy. Means of science don't allow foretelling what implementation will the next doubling of computer capacities following...
RESEARCH OF THE AGGREGATION TRAFFIC OF THE WIRELESS IOT DEVICES
Currently, there is a rapid growth of the Internet of things. In this regard, the problem of overloading existing data networks with the traffic of IoT devices becomes topical. To study this problem it was decided to use...
METHODICAL APPROACH TO TRAINING OF IT-PROFESSIONALS BASED ON NETWORKING
Increasing requirements to the content and form of higher education in conditions of digital economy set new tasks for professors: formation of applied competences, the involvement of students in project activities, prov...
RESOURCE INTENSITY CALCULATION For TEXTS LANGUAGE IDENTIFICATION PROGRAMS
The article deals with the resource intensity calculation of texts language identification programs depending on their identification methods. The most commonly used methods are described, together with an indication of...
COMPARATIVE ANALYSIS OF RELATED SEQUENCES AND THEIR INCREMENTS ON THE BASIS OF DISCRIMINANT ANALYSIS
The article is devoted to the study of the relationship between the lengths of orthologous proteins of four organisms, one of which is taken as the basic one ( more than 1200 proteins in total). The methods of multivaria...