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On embedded bifurcation structure in some discretized vector fields
| Title: | On embedded bifurcation structure in some discretized vector fields |
| Authors: | Kang, Hunseok Browse this author | | Tsuda, Ichiro Browse this author →KAKEN DB |
| Keywords: | bifurcation | | nonlinear differential equations | | nonlinear dynamical systems | | vectors |
| Issue Date: | Sep-2009 |
| Publisher: | American Institute of Physics |
| Journal Title: | Chaos : An Interdisciplinary Journal of Nonlinear Science |
| Volume: | 19 |
| Issue: | 3 |
| Start Page: | 033132 |
| Publisher DOI: | 10.1063/1.3212934 |
| PMID: | 19792012 |
| Abstract: | In this paper, we study a dynamic structure of discretized vector fields obtained from the Brusselator, which is described by two-dimensional ordinary differential equations (ODEs). We found that a bifurcation structure of the logistic map is embedded in the discretized vector field. The embedded bifurcation structure was unraveled by the dynamical orbits that eventually converge to a fixed point. We provide a detailed mathematical analysis to explain this phenomenon and relate it to the solution of the original ODEs. |
| Rights: | Copyright 2009 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Chaos, 19, 033132, 2009 and may be found at http://dx.doi.org/10.1063/1.3212934 |
| Type: | article |
| URI: | http://hdl.handle.net/2115/39276 |
| Appears in Collections: | 電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 津田 一郎
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