On Duffing equation with random perturbations

A. Ambrazevičius; F. Ivanauskas; H. Pragarauskas

doi:10.15388/NA.15.2.14348

Articles

A. Ambrazevičius

Vilnius University, Lithuania

F. Ivanauskas

Vilnius University, Lithuania

H. Pragarauskas

Institute of Mathematics and Informatics, Lithuania

Published 2010-04-25

https://doi.org/10.15388/NA.15.2.14348

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Keywords

Duffing equation
noise-induced synchronization
random perturbations

How to Cite

Ambrazevičius, A., Ivanauskas, F. and Pragarauskas, H. (2010) “On Duffing equation with random perturbations”, Nonlinear Analysis: Modelling and Control, 15(2), pp. 129–138. doi:10.15388/NA.15.2.14348.

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Abstract

We consider a family of particles with different initial states and/or velocities whose dynamics is described by a modified Duffing equation with random perturbations. Sufficient conditions ensuring almost identical sample paths of the particles after a long time are given.

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