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ON THE STABILITY AND INSTABILITY OF A CLASS OF NONLINEAR NONAUTONOMOUS ORDINARY DIFFERENTIAI, EQUATIONS

  • Sen, M.DeLa (Instituto de Investigaciony Desarrollo de Procesos IIDP, Facultad de Ciencias. Universidad del Pa′is Vasco Leioa(Bizkaia))
  • Published : 2003.05.01

Abstract

This note Presents sufficient conditions for Lyapunov's stability and instability of a class of nonlinear nonautonomous second-order ordinary differential equations. Such a class includes as particular cases a remarkably large number of differential equations with specific physical applications. Two successive nonlinear transformations are applied to the original differential equation in order to convert it into a more convenient form for stability analysis purposes. The obtained stability / instability conditions depend closely on the parameterization of the original differential equation.

References

  1. Nonlinear ordinary differential equations and their applications P.L.Sachdev
  2. Nonlinear systems analysis M.Vidyasagar

Cited by

  1. Lie symmetries, Lagrangians and Hamiltonian framework of a class of nonlinear nonautonomous equations vol.75, 2015, https://doi.org/10.1016/j.chaos.2015.02.021