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
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- EP ID EP266393
- DOI 10.25559/SITITO.2017.4.525
- Views 71
- Downloads 0
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