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Pérez Cervera, Alberto and Lindner, Benjamin and Thomas, Peter J. (2021) Isostables for Stochastic Oscillators. Physical review letters, 127 . p. 254101. ISSN 0031-9007
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Official URL: https://doi.org/10.1103/PhysRevLett.127.254101
Abstract
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.
Item Type: | Article |
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Subjects: | Sciences > Mathematics > Mathematical analysis |
ID Code: | 76887 |
Deposited On: | 03 Mar 2023 10:42 |
Last Modified: | 03 Mar 2023 10:48 |
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