| Presentation | 2007-12-19 Estimating phase equations from multivariate time series Isao TOKUDA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A novel approach is presented for extracting phase equations from multivariate time series data recorded from a network of weakly coupled limit cycle oscillators. Our aim is to estimate important properties of the phase equations including natural frequencies and interaction functions between the oscillators. Our approach requires the measurement of an experimental observable of the oscillators; in contrast to previous methods it does not require measurements in isolated single or two-oscillator setups. This non-invasive technique can be advantageous, for example, in biological systems, where extraction of few oscillators may be a difficult task. We apply this technique to simulated data from prototypical example of coupled limit cycle oscillators. It is shown that our technique enables precise estimation of the natural frequencies and the interaction function from only a single data set. The method is most efficient when data are taken from the non-synchronized regime where the phases of the oscillators are affected by coupling but where no complete phase locking of the oscillators occurs. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | coupled oscillators / phase reduction / interaction function / parameter estimation / time series analysis |
| Paper # | NLP2007-108 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2007/12/12(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) | Estimating phase equations from multivariate time series |
| Sub Title (in English) | |
| Keyword(1) | coupled oscillators |
| Keyword(2) | phase reduction |
| Keyword(3) | interaction function |
| Keyword(4) | parameter estimation |
| Keyword(5) | time series analysis |
| 1st Author's Name | Isao TOKUDA |
| 1st Author's Affiliation | School of Information Science, Japan Advanced Institute of Science and Technology() |
| Date | 2007-12-19 |
| Paper # | NLP2007-108 |
| Volume (vol) | vol.107 |
| Number (no) | 399 |
| Page | pp.pp.- |
| #Pages | 4 |
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