『徳島大学 教育・研究者情報データベース (EDB)』---[学外] /
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登録内容 (EID=194689)

EID=194689EID:194689, Map:0, LastModified:2010年3月18日(木) 15:34:54, Operator:[山田 美緒], Avail:TRUE, Censor:0, Owner:[上田 哲史], Read:継承, Write:継承, Delete:継承.
学科・専攻 (必須): 1.徳島大学.先端技術科学教育部.システム創生工学専攻.知能情報システム工学コース (2006年4月1日〜) [継承]
学位 (必須): 課程博士
学位名称 (必須): 博士(工学)/[博士]
学位正式名称 (必須):
[継承]
[継承]
言語 (推奨): 英語 [継承]
氏名 (必須):
題名 (必須): (英) Numerical Bifurcation Analysis Method for Hybrid Systems  (日)    [継承]
副題 (任意):
要約 (任意): (英) In the field of dynamical system analysis, piecewise-smooth models have grown in popularity due to there greater flexibility and accuracy in representing some hybrid systems in applications such as electronics or mechanics. Hybrid dynamical systems have two sets of variables, one which evolve in a continuous space, and the other in a discrete one. Most analytical methods require the orbit to be smooth during objective intervals, so that some special treatments are inevitable to study the existence and stability of solutions in hybrid dynamical systems. Based on a piecewise-smooth model, where the orbit of the system is broken down into locally smooth pieces, and a hybrid bifurcation analysis method, using a Poincare map with sections ruled by the switching conditions of the system, we review the analysis process in details. Then we apply it to various extensions of the Alpazur oscillator, originally a nonsmooth 2-dimension switching oscillator. The original Alpazur oscillator, as a simple nonlinear switching system, was a perfect candidate to prove the efficiency of the approach. Each of its extensions shows a new scenario and how it can be handled, in order to illustrate the generality of the model. Finally, and in order to show more of the implementation we used for our own computer-based analysis tool, some of the most relevant numerical methods we used are introduced. It is noteworthy that the emphasis has been put on autonomous systems because the treatment of non-autonomous ones only requires a simplification (no time variation). This study brings a strong and general framework for the bifurcation analysis of nonlinear hybrid dynamical systems, illustrated by some results. Among them, some interesting local and global properties of the Alpazur Oscillator are revealed, such as the presence of a cascade of cusps in the bifurcation diagram. Our work resulted in the implementation of an analysis tool, implemented in C++, using the numerical methods that we chose for this particular purpose, such as the numerical approximation of the second derivative elements in the Jacobian matrix.  (日)    [継承]
キーワード (推奨): 1. (英) hybrid systems (日) (読) [継承]
2. (英) bifurcation (日) (読) [継承]
3. (英) numerical computation (日) (読) [継承]
年月日 (必須): 西暦 2009年 9月 30日 (平成 21年 9月 30日) [継承]
指導教員 (必須): 1.上田 哲史 ([徳島大学.情報センター]/[徳島大学.理工学部.理工学科.情報光システムコース.情報工学講座]) [継承]
指導協力教員 (任意):
審査教員 (必須): 1.西尾 芳文 ([徳島大学.大学院社会産業理工学研究部.理工学域.電気電子系.知能電子回路分野]/[徳島大学.理工学部.理工学科.電気電子システムコース.知能電子回路講座]) [継承]
2.北 研二 ([徳島大学.大学院社会産業理工学研究部.理工学域.知能情報系.情報工学分野]/[徳島大学.理工学部.理工学科.情報光システムコース.情報工学講座]) [継承]
3.北島 博之 ([香川大学]) [継承]
4.上田 哲史 ([徳島大学.情報センター]/[徳島大学.理工学部.理工学科.情報光システムコース.情報工学講座]) [継承]
備考 (任意): 1.(英) Double degree (INSA Toulouse)  (日)    [継承]

標準的な表示

和文冊子 ● [課程博士] : (氏名) : Numerical Bifurcation Analysis Method for Hybrid Systems, 2009年9月, 上田 哲史 [西尾 芳文, 北 研二, 北島 博之, 上田 哲史].
欧文冊子 ● [課程博士] : (氏名) : Numerical Bifurcation Analysis Method for Hybrid Systems, 2009年9月, 上田 哲史 [西尾 芳文, 北 研二, 北島 博之, 上田 哲史].

関連情報

Number of session users = 3, LA = 0.32, Max(EID) = 361949, Max(EOID) = 968452.