7 citations · 16 across the 3 of their papers we have counts for
3 papers
math-ph2009★ 5 cited
Constraint algorithm for k-presymplectic Hamiltonian systems. Application to singular field theories
Xavier Gracia, Ruben Martin, Narciso Roman-Roy
The k-symplectic formulation of field theories is especially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close rela…
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★ 7 cited
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…