TY  - JOUR
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
T1  - Numerical phase reduction beyond the first order approximation
T2  - Chaos : an interdisciplinary journal of nonlinear science
N2  - We develop a numerical approach to reconstruct the phase dynamics of driven or coupled self-sustained oscillators. Employing a simple algorithm for computation of the phase of a perturbed system, we construct numerically the equation for the evolution of the phase. Our simulations demonstrate that the description of the dynamics solely by phase variables can be valid for rather strong coupling strengths and large deviations from the limit cycle. Coupling functions depend crucially on the coupling and are generally non-decomposable in phase response and forcing terms. We also discuss the limitations of the approach. Published under license by AIP Publishing.
Y1  - 2019
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/50778
SN  - 1054-1500
SN  - 1089-7682
VL  - 29
IS  - 1
PB  - American Institute of Physics
CY  - Melville
ER  -