Non-Linear Dynamics with Non-Standard Lagrangians

• Ahmad Rami El-Nabulsi ^[1]
  1. [1] Neijiang Normal University

     Neijiang Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 12, Nº 2, 2013, págs. 273-291
• Idioma: inglés
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• Resumen

  • 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.