Range of validity and intermittent dynamics of the phase of oscillators with nonlinear self-excitation
Article
Article Title | Range of validity and intermittent dynamics of the phase of oscillators with nonlinear self-excitation |
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ERA Journal ID | 100 |
Article Category | Article |
Authors | Strunin, D. V. (Author) and Mohammed, M. G. (Author) |
Journal Title | Communications in Nonlinear Science and Numerical Simulation |
Journal Citation | 29 (1-3), pp. 128-147 |
Number of Pages | 20 |
Year | 2015 |
Place of Publication | Netherlands |
ISSN | 1007-5704 |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.cnsns.2015.04.024 |
Web Address (URL) | http://www.sciencedirect.com/science/article/pii/S100757041500163X |
Abstract | A range of active systems, particularly of chemical nature, are known to perform self-excited oscillations coupled by diffusion. The role of the diffusion is not trivial so that the differences in the phase of the oscillations through space may persist, depending on the values of the controlling parameters of the system. Firstly, we analyse a 6th-order nonlinear partial differential equation describing such dynamics. We evaluate the range of the parameters leading to different finite versions of the equation, specifically a version based on nonlinear excitation and a version based on linear excitation. In the second part of the work we solve the equation in two spatial dimensions by finite difference discretization in space and subsequent numerical integration of a system of ordinary differential equations in time. A forced variant of the equation is derived and selected exact solutions |
Keywords | active dissipative system; nonlinear excitation; parametric space; irregular dynamics |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
490105. Dynamical systems in applications | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | Computational Engineering and Science Research Centre |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q3477/range-of-validity-and-intermittent-dynamics-of-the-phase-of-oscillators-with-nonlinear-self-excitation
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