Chaotic behavior of a Galerkin model of a two-dimensional flow
Chen, Zhi-Min and Price, W.G. (2004) Chaotic behavior of a Galerkin model of a two-dimensional flow. Chaos: An Interdisciplinary Journal of Nonlinear Science, 14, (4), 1056-1068. (doi:10.1063/1.1804091).
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Description/Abstract
Chaotic behavior of a Galerkin model of the Kolmogorov fluid motion equations is demonstrated. The study focuses on the dynamical behavior of limit trajectories branching off secondary periodic solutions. It is shown that four limit trajectories exist and transform simultaneously from periodic solutions to chaotic attractors through a sequence of bifurcations including a periodic-doubling scenario. Some instability regimes display close similarities to those of a discrete dynamical system generated by an interval map.
| Item Type: | Article |
|---|---|
| ISSNs: | 1054-1500 (print) |
| Related URLs: | |
| Subjects: | Q Science > QC Physics |
| Divisions: | University Structure - Pre August 2011 > School of Engineering Sciences > Fluid-Structure Interactions |
| Item ID: | 46280 |
| Date Deposited: | 12 Jun 2007 |
| Last Modified: | 12 Jul 2012 13:44 |
| Contributors: | Chen, Zhi-Min (Author) Price, W.G. (Author) |
| Date: | 2004 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/46280 |
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