Adelaide Research & Scholarship
Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/11191
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| Type: | Journal article |
| Title: | High-dimensional interior crisis in the Kuramoto-Sivashinsky equation |
| Author: | Chian, A. Rempel, E. Macau, E. Rosa, R. Christiansen, F. |
| Citation: | Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2002; 65(3):1-4 |
| Publisher: | American Physical Soc |
| Issue Date: | 2002 |
| ISSN: | 1539-3755 1063-651X |
| Statement of Responsibility: | A. C.-L. Chian, E. L. Rempel, E. E. Macau, R. R. Rosa, and F. Christiansen |
| Abstract: | An investigation of interior crisis of high dimensions in an extended spatiotemporal system exemplified by the Kuramoto-Sivashinsky equation is reported. It is shown that unstable periodic orbits and their associated invariant manifolds in the Poincaré hyperplane can effectively characterize the global bifurcation dynamics of high-dimensional systems. |
| Rights: | ©2002 American Physical Society |
| DOI: | 10.1103/PhysRevE.65.035203 |
| Published version: | http://dx.doi.org/10.1103/physreve.65.035203 |
| Appears in Collections: | Aurora harvest 7 Special Research Centre for the Subatomic Structure of Matter publications |
Files in This Item:
| File | Description | Size | Format | |
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| hdl_11191.pdf | Published version | 132.27 kB | Adobe PDF | View/Open |
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