TY  - JOUR
A1  - Blaha, Karen A.
A1  - Pikovskij, Arkadij
A1  - Rosenblum, Michael
A1  - Clark, Matthew T.
A1  - Rusin, Craig G.
A1  - Hudson, John L.
T1  - Reconstruction of two-dimensional phase dynamics from experiments on coupled oscillators
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - Phase models are a powerful method to quantify the coupled dynamics of nonlinear oscillators from measured data. We use two phase modeling methods to quantify the dynamics of pairs of coupled electrochemical oscillators, based on the phases of the two oscillators independently and the phase difference, respectively. We discuss the benefits of the two-dimensional approach relative to the one-dimensional approach using phase difference. We quantify the dependence of the coupling functions on the coupling magnitude and coupling time delay. We show differences in synchronization predictions of the two models using a toy model. We show that the two-dimensional approach reveals behavior not detected by the one-dimensional model in a driven experimental oscillator. This approach is broadly applicable to quantify interactions between nonlinear oscillators, especially where intrinsic oscillator sensitivity and coupling evolve with time.
Y1  - 2011
U6  - https://doi.org/10.1103/PhysRevE.84.046201
SN  - 1539-3755
VL  - 84
IS  - 4
PB  - American Physical Society
CY  - College Park
ER  -