ws-ijbc.pdf (350.79 kB)
Topology and bifurcations in nonholonomic mechanics
journal contribution
posted on 2015-11-11, 13:22 authored by Ivan A. Bizyaev, Alexey BolsinovAlexey Bolsinov, Alexey V. Borisov, Ivan S. MamaevThis 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOSVolume
25Issue
10Pages
? - ? (21)Citation
BIZYAEV, I.A. ... et al, 2015. Topology and bifurcations in nonholonomic mechanics. International Journal of Bifurcation and Chaos, 25 (10), 1530028.Publisher
© World Scientific Publishing CompanyVersion
- SMUR (Submitted Manuscript Under Review)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2015Notes
Preprint of an article published in International Journal of Bifurcation and Chaos, 25 (10), 1530028, DOI: 10.1142/S0218127415300281. © World Scientific Publishing Company. http://www.worldscientific.com/worldscinet/ijbcISSN
0218-1274Publisher version
Language
- en