RT Journal Article
T1 Isostables for Stochastic Oscillators
A1 Pérez Cervera, Alberto
A1 Lindner, Benjamin
A1 Thomas, Peter J.
AB Thomas and Lindner [P. J. Thomas and B. Lindner, Phys. Rev. Lett. 113, 254101 (2014).], defined an asymptotic phase for stochastic oscillators as the angle in the complex plane made by the eigenfunction, having a complex eigenvalue with a least negative real part, of the backward Kolmogorov (or stochastic Koopman) operator. We complete the phase-amplitude description of noisy oscillators by defining the stochastic isostable coordinate as the eigenfunction with the least negative nontrivial real eigenvalue. Our results suggest a framework for stochastic limit cycle dynamics that encompasses noise-induced oscillations.
PB American Physical Society
SN 0031-9007
YR 2021
FD 2021-12-14
LK https://hdl.handle.net/20.500.14352/5004
UL https://hdl.handle.net/20.500.14352/5004
LA eng
DS Docta Complutense
RD 7 abr 2025