Non-Linear Dynamics with Non-Standard Lagrangians

作者：El Nabulsi Ahmad Rami^*

来源：Qualitative Theory of Dynamical Systems, 2013, 12(2): 273-291.

DOI：10.1007/s12346-012-0074-0

• Non-standard Lagrangians
• Nonlinear dynamics
• Perturbations

Two new actions being of a non-natural class S = integral e(L(q,(q) over dot,t)) dt and S = integral L1+gamma (q,(q) over dot, t) dt, gamma is an element of 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.

• 出版日期2013-10
• 单位内江师范学院