Resumen de Non-Linear Dynamics with Non-Standard Lagrangians

Remi-Ahmad El-Nabulsi

• Two new actions being of a non-natural class S = eL(q,q˙,t) dt and S = L1+γ (q, q˙, t)dt, γ ∈ R with non-standard Lagrangians are introduced. It is demonstrated that nonlinear systems holding new dynamical properties may be obtained. Several constrained Lagrangians systems have been identified to possess attractive properties. Additional features are explored and discussed in some details.