scholarly journals Decomposition of nonholonomic mechanics models

2018 ◽  
Vol 1096 ◽  
pp. 012054
Author(s):  
A Kobrin ◽  
V Sobolev
2021 ◽  
Vol 1959 (1) ◽  
pp. 012054
Author(s):  
M P Yushkov ◽  
Sh Kh Soltakhanov ◽  
V V Dodonov

2004 ◽  
Vol 57 (1) ◽  
pp. B3-B3
Author(s):  
AM Bloch, ◽  
B Brogliato,

2008 ◽  
Vol 05 (05) ◽  
pp. 799-830 ◽  
Author(s):  
M. DE LEÓN ◽  
D. MARTÍN DE DIEGO ◽  
M. SALGADO ◽  
S. VILARIÑO

A k-symplectic framework for classical field theories subject to nonholonomic constraints is presented. If the constrained problem is regular one can construct a projection operator such that the solutions of the constrained problem are obtained by projecting the solutions of the free problem. Symmetries for the nonholonomic system are introduced and we show that for every such symmetry, there exist a nonholonomic momentum equation. The proposed formalism permits to introduce in a simple way many tools of nonholonomic mechanics to nonholonomic field theories.


2015 ◽  
Vol 58 (12) ◽  
pp. 1220-1222 ◽  
Author(s):  
A V Borisov ◽  
I S Mamaev

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