A STOCHASTIC TREATMENT for OSCILLATORY BEHAVIOR with DAMPING

Hande Uslu*, Murat Sari

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Natural processes have been taken highly attention for many years and various methods have been used to find a proper solution to the processes. Striking physical systems are adequately modelled by the Duffing equation, which describes an oscillator with various nonlinearities. Since many difficulties are encountered in numerically solving the problems governed by the Duffing equation with damping effect, a new stochastic approach based on Monte Carlo technique has been proposed to handle it. To properly realize the simulated behavior of the processes, detailed discussion has been carried out in the present work.

Original languageEnglish
Pages (from-to)179-186
Number of pages8
JournalSigma Journal of Engineering and Natural Sciences
Volume10
Publication statusPublished - 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019 Yildiz Technical University. All Rights Reserved.

Keywords

  • Duffing oscillator
  • initial value problem
  • Monte Carlo simulation
  • nonlinear process
  • stochastic method

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