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|Title: ||Topology and bifurcations in nonholonomic mechanics|
|Authors: ||Bizyaev, Ivan A.|
Bolsinov, Alexey V.
Borisov, Alexey V.
Mamaev, Ivan S.
|Keywords: ||Nonholonomic hinge|
|Issue Date: ||2015|
|Publisher: ||© World Scientific Publishing Company|
|Citation: ||BIZYAEV, I.A. ... et al, 2015. Topology and bifurcations in nonholonomic mechanics. International Journal of Bifurcation and Chaos, 25 (10), 1530028.|
|Abstract: ||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.|
|Description: ||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/ijbc|
|Version: ||Submitted for publication|
|Publisher Link: ||http://dx.doi.org/10.1142/S0218127415300281|
|Appears in Collections:||Published Articles (Maths)|
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