4 citations · 4 across the 1 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2004★ 4 cited
Time-dependent singular differential equations
Xavier Gracia, Ruben Martin
A geometric framework for describing and solving time-dependent implicit differential equations F(t,x,x')=0 is studied, paying special attention to the linearly singular case, wher…
math-ph2004
Regularity and symmetries of nonholonomic systems
Xavier Gracia, Ruben Martin
Lagrangian systems with nonholonomic constraints may be considered as singular differential equations defined by some constraints and some multipliers. The geometry, solutions, sym…
math-ph2000
Some geometric aspects of variational calculus in constrained mechanics
Xavier Gracia, Jesus Marin-Solano, Miguel-C. Munoz-Lecanda
We give a geometric description of variational principles in mechanics, with special attention to constrained systems. For the general case of nonholonomic constraints, a unified v…