書誌事項
- 公開日
- 2013-06-04
- 資源種別
- journal article
- 権利情報
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- http://iopscience.iop.org/info/page/text-and-data-mining
- http://iopscience.iop.org/page/copyright
- DOI
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- 10.1088/1751-8113/46/25/254007
- 10.48550/arxiv.1207.5571
- 公開者
- IOP Publishing
この論文をさがす
説明
We show, using covariant Lyapunov vectors in addition to standard Lyapunov analysis, that there exists a set of collective Lyapunov modes in large chaotic systems exhibiting collective dynamics. Associated with delocalized Lyapunov vectors, they act collectively on the trajectory and hence characterize the instability of its collective dynamics. We further develop, for globally-coupled systems, a connection between these collective modes and the Lyapunov modes in the corresponding Perron-Frobenius equation. We thereby address the fundamental question of the effective dimension of collective dynamics and discuss the extensivity of chaos in presence of collective dynamics.
24 pages, 15 figures; display error correction of Fig.11 and other minor changes (v2)
収録刊行物
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- Journal of Physics A: Mathematical and Theoretical
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Journal of Physics A: Mathematical and Theoretical 46 (25), 254007-, 2013-06-04
IOP Publishing
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詳細情報 詳細情報について
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- CRID
- 1360004234453547136
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- ISSN
- 17518121
- 17518113
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- 資料種別
- journal article
-
- データソース種別
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- Crossref
- KAKEN
- OpenAIRE
