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説明
Chaotic phenomena are getting interest in all spheres of knowledge. In the past there were certain tools to identify regular and chaotic motions in dynamical systems such as time series curves, phase plots, Poincare maps, power spectra, Lyapunov Exponents etc. These indicators, though very powerful, are not sufficient to differentiate regular and chaotic motion when the system bears higher degrees of freedom. Recent developments in nonlinear dynamics, provide some new tools like Fast Lyapunov Indicators (FLI), Smaller Alignment Indices (SALI), Dynamic Lyapunov Indicators, 0 - 1 test etc. to overcome this problem. These new tools are discovered and explained by various researchers. In the present article these new tools have been discussed and their applications have been shown with satisfactory answers. Burger's map, Chirikov map and Bouncing ball dynamics model are brought in this cotext. Results obtained are quite satisfactory and significant.
収録刊行物
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- 理工学総合研究所研究報告
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理工学総合研究所研究報告 (20), 1-12, 2008-02-01
近畿大学理工学総合研究所
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詳細情報 詳細情報について
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- CRID
- 1050282677522031872
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- NII論文ID
- 110007025712
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- NII書誌ID
- AN10074306
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- ISSN
- 09162054
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- NDL書誌ID
- 9405203
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB
- NDL
- CiNii Articles