Stability

Student: Zykov Anton

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2018

In this work we consider methods of proving Lyapunov stability in case we are given some first integrals. These methods are direct construction of Lyapunov function, a topological method and Energy-Casimir method. We also consider the ways to use these methods by proving stability of a rotating rigid body. At the end we give ways how can one find a few first integrals.

Student Theses at HSE must be completed in accordance with the University Rules and regulations specified by each educational programme.

Summaries of all theses must be published and made freely available on the HSE website.

The full text of a thesis can be published in open access on the HSE website only if the authoring student (copyright holder) agrees, or, if the thesis was written by a team of students, if all the co-authors (copyright holders) agree. After a thesis is published on the HSE website, it obtains the status of an online publication.

Student theses are objects of copyright and their use is subject to limitations in accordance with the Russian Federation’s law on intellectual property.

In the event that a thesis is quoted or otherwise used, reference to the author’s name and the source of quotation is required.

Search all student theses