Fractional damped-coupled oscillator of two identical masses

Authors

  • Jayson Cosme National Institute of Physics, University of the Philippines Diliman
  • Jose Perico Esguerra National Institute of Physics, University of the Philippines Diliman

Abstract

An oscillator made up of two identical masses with Hooke’s law interaction and time-fractional order damping term is studied. The general solution is obtained using the Laplace Transform method and a method previously used by Burov and Barkai for the single oscillator problem. Transitions between different behaviors are observed when the position versus time is plotted as the frequency varies. Three regimes for the frequency are found out. The first region depicted monotonous behavior. The next one is a non-monotonous region. The third one is an oscillatory decay which is akin to an under-damped motion.

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Article ID

SPP-2010-5C-05

Section

Complex Systems

Published

2010-10-25

How to Cite

[1]
J Cosme and JP Esguerra, Fractional damped-coupled oscillator of two identical masses, Proceedings of the Samahang Pisika ng Pilipinas 28, SPP-2010-5C-05 (2010). URL: https://proceedings.spp-online.org/article/view/SPP-2010-5C-05.