Bifurcation and final patterns of a modified Swift-Hohenberg equation
- Title
- Bifurcation and final patterns of a modified Swift-Hohenberg equation
- Author(s)
- Choi, Yuncherl ; Ha, Taeyoung ; Han, Jongmin ; Lee, Doo Seok
- DGIST Authors
- Choi, Yuncherl ; Ha, Taeyoung ; Han, Jongmin ; Lee, Doo Seok
- Issued Date
- 2017-09
- Type
- Article
- Article Type
- Article
- Author Keywords
- Modified Swift-Hohenberg equation ; dynamical bifurcation ; center manifold
- Keywords
- Attractor ; Center Manifold ; Dynamical Bifurcation ; Dynamical Bifurcation ; Instability ; Kuramoto Sivashinsky Equation ; Model ; Modified Swift Hohenberg Equation ; Selection
- ISSN
- 1531-3492
- Abstract
- In this paper, we study the dynamical bifurcation and final patterns of a modified Swift-Hohenberg equation(MSHE). We prove that the MSHE bifurcates from the trivial solution to an S-1-attractor as the control parameter alpha passes through a critical number (alpha) over cap . Using the center manifold analysis, we study the bifurcated attractor in detail by showing that it consists of finite number of singular points and their connecting orbits. We investigate the stability of those points. We also provide some numerical results supporting our analysis.
- Publisher
- American Institute of Mathematical Sciences
- Related Researcher
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Lee, Doo Seok 교양학부
- Research Interests CAGD(Computer Aided Geometric Design); Optimization; Smart Education; Machine Learning
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- Appears in Collections:
- School of Undergraduate Studies 1. Journal Articles
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