| ID | 113429 |
| Author |
Maki, Atsuo
Kobe University
Umeda, Naoya
Osaka University
Ueta, Tetsushi
Tokushima University
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| Keywords | Escape equation
Chaos phenomenon
Melnikov integral formula
Analytical formulae
Non-Hamiltonian heteroclinic orbit
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| Content Type |
Journal Article
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| Description | Chaos appearing in a ship roll equation in beam seas, known as the escape equation, has been intensively investigated so far because it is closely related to capsizing accident. In particular, many applications of Melnikov integral formula have been reported in the existing literature. However, in all the analytical works concerning with the escape equation, Melnikov integral is formulated utilizing a separatrix for Hamiltonian part or a numerically obtained heteroclinic orbit for non-Hamiltonian part, of the original escape equation. To overcome such limitations, this paper attempts to utilise an analytical expression of the non-Hamiltonian part. As a result, an analytical procedure making use of a heteroclinic orbit of non-Hamiltonian part within the framework of Melnikov integral formula is provided.
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| Journal Title |
Journal of Marine Science and Technology
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| ISSN | 09484280
14378213
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| NCID | AA11098465
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| Publisher | The Japan Society of Naval Architects and Ocean Engineers|Springer Japan
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| Volume | 15
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| Issue | 1
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| Start Page | 102
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| End Page | 106
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| Published Date | 2009-11-25
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| Remark | The final publication is available at www.springerlink.com
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| EDB ID | |
| DOI (Published Version) | |
| URL ( Publisher's Version ) | |
| FullText File | |
| language |
eng
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| TextVersion |
Author
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| departments |
Center for Administration of Information Technology
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