New role of null lagrangians in derivation of equations of motion for dynamical systems

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 motion. A humble effort discover relevance these made introducing a generalized procedure (with respect recent introduced authors this paper) that takes advantage null-ness construct non-standard represent range interesting dynamical systems. By using procedure, derivation motion for harmonic oscillator as well Bateman Duffing oscillators presented. obtained results demonstrate new role played null corresponding describing linear nonlinear, dissipative non-dissipative