| Autor: |
Mau, Erik T. K., Rosenblum, Michael, Pikovsky, Arkady |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Chaos 33, 101101 (2023) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1063/5.0169008 |
| Popis: |
Phase reduction is a general approach to describe coupled oscillatory units in terms of their phases, assuming that the amplitudes are enslaved. For such a reduction, the coupling should be small, but one also expects the reduction to be valid for finite coupling. This paper presents a general framework allowing us to obtain coupling terms in higher orders of the coupling parameter for generic two-dimensional oscillators and arbitrary coupling terms. The theory is illustrated with an accurate prediction of Arnold's tongue for the van der Pol oscillator exploiting higher-order phase reduction. |
| Databáze: |
arXiv |
| Externí odkaz: |
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