Front Dynamics with Delays in a Spatially Extended Bistable System: Computer Simulation
Articles
V. Jasaitis
Vilnius University, Lithuania
F. Ivanauskas
Vilnius University; Institute of Mathematics and Informatics, Lithuania
R. Bakanas
Semiconductor Physics Institute, Lithuania
Published 2008-10-20
https://doi.org/10.15388/NA.2008.13.4.14549
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Keywords

dissipative systems
self-organization
spontaneously formed front-structures
nonlinear partial differential equations
mathematical physics

How to Cite

Jasaitis V., Ivanauskas F. and Bakanas R. (2008) “Front Dynamics with Delays in a Spatially Extended Bistable System: Computer Simulation”, Nonlinear Analysis: Modelling and Control, 13(4), pp. 433-438. doi: 10.15388/NA.2008.13.4.14549.

Abstract

Front dynamics with delays in a spatially extended bistable system of the reaction-diffusion type is studied by the use of nonlinear partial differential equation (PDE) of the parabolic type. The response of the self-ordered front, joining two steady states of the different stability in the system, to the multi-harmonic (step-like) force is examined. The relaxation rate of the system, that characterizes the delayed response of the front to the alternating current (ac) drive, is found to be sensitive to the peculiarities (shape) of the rate function (nonlinearity) of the governing PDE. By using computer simulations of the drift motion of the ac driven bistable front (BF) we are able to show that the characteristic relaxation time of the system decreases with the increasing outer slope parameters of the rate function and is not sensitive to the inner one.

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