| タイトル |
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On embedded bifurcation structure in some discretized vector fields
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| 作成者 |
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| アクセス権 |
open access |
| 権利情報 |
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en
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
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| 主題 |
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Other
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bifurcation
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Other
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nonlinear differential equations
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Other
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nonlinear dynamical systems
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Other
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vectors
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NDC
421
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| 内容注記 |
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Abstract
en
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.
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| 出版者 |
en
American Institute of Physics
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| 日付 |
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| 言語 |
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| 資源タイプ |
journal article |
| 出版タイプ |
VoR |
| 資源識別子 |
HDL
http://hdl.handle.net/2115/39276
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| 関連 |
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isIdenticalTo
DOI
https://doi.org/10.1063/1.3212934
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PMID
19792012
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| 収録誌情報 |
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PISSN
1054-1500
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EISSN
1089-7682
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Chaos : An Interdisciplinary Journal of Nonlinear Science
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巻19
号3
開始ページ033132
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| ファイル |
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| コンテンツ更新日時 |
2023-07-26 |
