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Energy Variability and Chaos in Ueda Oscillator
https://kindai.repo.nii.ac.jp/records/11141
https://kindai.repo.nii.ac.jp/records/111413ab22518-7ef6-4a14-965e-1e0163b9d941
名前 / ファイル | ライセンス | アクション |
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AN10074306-20110228-0001.pdf (6.1 MB)
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Item type | ☆紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2011-05-14 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Energy Variability and Chaos in Ueda Oscillator | |||||
著者 |
Bharti
× Bharti× SAHA, L. M.× YUASA, Manabu |
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言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Energy variability, Chaotic dynamical system, Ueda oscillator | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者(英) | ||||||
en | ||||||
著者(英) | ||||||
en | ||||||
著者(英) | ||||||
en | ||||||
湯浅, 学 | ||||||
著者 所属 | ||||||
Shyam Lal College(Evening), University of Delhi | ||||||
著者 所属 | ||||||
Mathematical Sciences Foundation | ||||||
著者 所属 | ||||||
Research Institute for Science and Technology, Kinki University | ||||||
版 | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 名前 | ||||||
出版者 | 近畿大学理工学総合研究所 | |||||
書誌情報 |
理工学総合研究所研究報告 en : Annual reports by Research Institute for Science and Technology 号 23, p. 1-10, 発行日 2011-02-01 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 09162054 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | [Abstract] Use of Melnikov method enables us to prove the existence of transverse homoclinic points and homoclinic bifurcations occurring in a number of dynamical systems. Energy plays acrucial role in the description of the evolutionary behaviour of nonlinear dynamical systems. If the energy behaves like a variable; it leads us to an interesting way to understand results obtained in investigation of various systems. Melnikov function, that measures the distance between the stable and unstable manifolds of the saddlee quilibrium of the Poincare map of sections near the separatrix, has been associated with the energy variable of the Hamiltonian. The system used here is the Ueda oscillator, [3, 5, 12, 13], which displays very interesting results during evolution shown through these works. We have again investigated the Ueda oscillator and studied its chaotic and transient chaotic evolutions taking into account the concept of energy variability. With the adjustment of certain parameter, we have observed, the chaotic, transient chaotic and regular behaviour through phase plots and Poincare surface of sections. Numerical results are obtained to support the analytical calculations which are discussed through various graphics. | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf |