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Topology and Bifurcations in Nonholonomic Mechanicsстатья
- Авторы: Bizyaev I.A., Bolsinov A.V., Borisov A.V., Mamaev I.S.
- Журнал: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
- Том: 25
- Номер: 10
- Год издания: 2015
- DOI: 10.1142/S0218127415300281
- Аннотация: This paper develops topological methods for qualitative analysis of the behavior of nonholonomic dynamical systems. Their application is illustrated by considering a new integrable system of nonholonomic mechanics, called a nonholonomic hinge. Although this system is nonholonomic, it can be represented in Hamiltonian form with a Lie–Poisson bracket of rank two. This Lie–Poisson bracket is used to perform stability analysis of fixed points. In addition, all possible types of integral manifolds are found and a classification of trajectories on them is presented.
- Добавил в систему: Болсинов Алексей Викторович