LYAPUNOV SPECTRA FOR KAPITZA OSCILLATOR
Abstract: Here we purpose a
simple but realistic model of one dimensional nonlinear Kapitza oscillator
driven by sin- or cos- rapidly external oscillating periodical force. The model
has a parameter 2gl=a2γ2 of dimension one, depending on the amplitude a and
frequency of modulation γ. Changing its value we construct phase portraits of
the system in the neighbourhood of fixed points and demonstrate the changing in
Lyapunov spectrum. Our purpose is to observe the behavior of system at fixed
points due to the different structures of the Lyapunov spectra.
Author: Nayyer Iqbal, Shahid
Ahmad and Muhammad Hussain
Journal Code: jpmatematikagg110021
