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Journal of Applied Sciences
  Year: 2006 | Volume: 6 | Issue: 1 | Page No.: 80-84
DOI: 10.3923/jas.2006.80.84
 
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The Lyapunov Exponents of the Impact Oscillator

June-Yule Lee

Abstract:
This study concerns the application of computing Lyapunov exponents for impact oscillator. The impact oscillator is considered as non-smooth dynamic system due to the motion constraint; therefore the Jacobian matrix for impact map instead of Poincare map is derived for the calculation of Lyapunov exponents. The results show the spectrum of Lyapunov exponents agrees with the plot of bifurcation diagram for varying the driving frequency.
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How to cite this article:

June-Yule Lee , 2006. The Lyapunov Exponents of the Impact Oscillator. Journal of Applied Sciences, 6: 80-84.

DOI: 10.3923/jas.2006.80.84

URL: https://scialert.net/abstract/?doi=jas.2006.80.84

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