| Presentation | 2014-03-10 Definition of phase for chaotic oscillators Wataru KUREBAYASHI, Hiroya NAKAO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In analyzing synchronization of limit-cycle oscillators, the phase reduction method, with which we can reduce the dimension of an oscillator by defining a variable called the phase, has played a key role. However, such a theoretical framework has not been established for chaotic oscillators. In this report, we propose a definition of the phase for chaotic oscillators by extending the definition for limit-cycle oscillators in a natural way. This definition clearly provides a physical meaning of the phase and justifies the phase reduction of chaotic oscillators. Furthermore, we clarify the relation between the phase response property of an oscillator and covariant Lyapunov vectors. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | chaotic oscillator / phase reduction / synchronization / entrainment |
| Paper # | NLP2013-164 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2014/3/3(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Definition of phase for chaotic oscillators |
| Sub Title (in English) | |
| Keyword(1) | chaotic oscillator |
| Keyword(2) | phase reduction |
| Keyword(3) | synchronization |
| Keyword(4) | entrainment |
| 1st Author's Name | Wataru KUREBAYASHI |
| 1st Author's Affiliation | Graduate School of Information Science and Engineering, Tokyo Institute of Technology() |
| 2nd Author's Name | Hiroya NAKAO |
| 2nd Author's Affiliation | Graduate School of Information Science and Engineering, Tokyo Institute of Technology |
| Date | 2014-03-10 |
| Paper # | NLP2013-164 |
| Volume (vol) | vol.113 |
| Number (no) | 486 |
| Page | pp.pp.- |
| #Pages | 2 |
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