LYAPUNOV SPECTRA FOR KAPITZA OSCILLATOR

Nayyer Iqbal; Shahid Ahmad; Muhammad Hussain

doi:10.22342/jims.17.1.12.39-48

Nayyer Iqbal ⁽¹⁾ , Shahid Ahmad ⁽²⁾ , Muhammad Hussain ⁽³⁾

(1) Department of Mathematics, GC University, Lahore,, Pakistan,

(2) ,

(3)

https://doi.org/10.22342/jims.17.1.12.39-48

Issue
Volume 17 Number 1 (April 2011)

Submitted
February 13, 2012

Accepted
February 13, 2012

Published
February 13, 2012

Keywords:

Kapitza oscillator, Lyapunov spectrum, Lyapunov spectra.

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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=a22 of dimension one, depending on the amplitude a and frequency of modulation . 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.

DOI : http://dx.doi.org/10.22342/jims.17.1.12.39-48

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Authors

Nayyer Iqbal

Department of Mathematics, GC University, Lahore,

admin@jims-a.org (Primary Contact)

Shahid Ahmad

Muhammad Hussain

Iqbal, N., Ahmad, S., & Hussain, M. (2012). LYAPUNOV SPECTRA FOR KAPITZA OSCILLATOR. Journal of the Indonesian Mathematical Society, 17(1), 39–48. https://doi.org/10.22342/jims.17.1.12.39-48