  The space of Null Lagrangians is the least investigated territory in dynamics
since they are identically sent to zero by their Euler-Lagrange operator and
thereby having no effects on equations of motion. A humble effort to discover
the relevance of these Null Lagrangians in dynamics is made by introducing a
generalized procedure (with respect to the recent procedure introduced by the
authors of this paper) that takes advantage of the null-ness of these
Lagrangians to construct non-standard Lagrangians that represent a range of
interesting dynamical systems. By using the generalized procedure, derivation
of equations of motion for a harmonic oscillator as well as for the Bateman and
Duffing oscillators is presented. The obtained results demonstrate a new role
played by the null Lagrangians and their corresponding non-standard Lagrangians
in describing linear and nonlinear, and dissipative and non-dissipative
dynamical systems.
