Generalized dynamical phase reduction for stochastic oscillators
Phase reduction is an important tool for studying coupled and driven oscillators. The question of how to generalize phase reduction to stochastic oscillators remains actively debated. In this work, we propose a method to derive a self-contained stochastic phase equation of the form dϕ=a(ϕ)dt+sqrt[2D...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-07-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.033052 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849470207910739968 |
|---|---|
| author | Pierre Houzelstein Peter J. Thomas Benjamin Lindner Boris Gutkin Alberto Pérez-Cervera |
| author_facet | Pierre Houzelstein Peter J. Thomas Benjamin Lindner Boris Gutkin Alberto Pérez-Cervera |
| author_sort | Pierre Houzelstein |
| collection | DOAJ |
| description | Phase reduction is an important tool for studying coupled and driven oscillators. The question of how to generalize phase reduction to stochastic oscillators remains actively debated. In this work, we propose a method to derive a self-contained stochastic phase equation of the form dϕ=a(ϕ)dt+sqrt[2D(ϕ)]dW(t) that is valid not only for noise-perturbed limit cycles, but also for noise-induced oscillations. We show that our reduction captures the asymptotic statistics of qualitatively different stochastic oscillators, and use it to infer their phase-response properties. |
| format | Article |
| id | doaj-art-0e46d214c45f4bf49f65829f9d3af23d |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-0e46d214c45f4bf49f65829f9d3af23d2025-08-20T03:25:12ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-017303305210.1103/PhysRevResearch.7.033052Generalized dynamical phase reduction for stochastic oscillatorsPierre HouzelsteinPeter J. ThomasBenjamin LindnerBoris GutkinAlberto Pérez-CerveraPhase reduction is an important tool for studying coupled and driven oscillators. The question of how to generalize phase reduction to stochastic oscillators remains actively debated. In this work, we propose a method to derive a self-contained stochastic phase equation of the form dϕ=a(ϕ)dt+sqrt[2D(ϕ)]dW(t) that is valid not only for noise-perturbed limit cycles, but also for noise-induced oscillations. We show that our reduction captures the asymptotic statistics of qualitatively different stochastic oscillators, and use it to infer their phase-response properties.http://doi.org/10.1103/PhysRevResearch.7.033052 |
| spellingShingle | Pierre Houzelstein Peter J. Thomas Benjamin Lindner Boris Gutkin Alberto Pérez-Cervera Generalized dynamical phase reduction for stochastic oscillators Physical Review Research |
| title | Generalized dynamical phase reduction for stochastic oscillators |
| title_full | Generalized dynamical phase reduction for stochastic oscillators |
| title_fullStr | Generalized dynamical phase reduction for stochastic oscillators |
| title_full_unstemmed | Generalized dynamical phase reduction for stochastic oscillators |
| title_short | Generalized dynamical phase reduction for stochastic oscillators |
| title_sort | generalized dynamical phase reduction for stochastic oscillators |
| url | http://doi.org/10.1103/PhysRevResearch.7.033052 |
| work_keys_str_mv | AT pierrehouzelstein generalizeddynamicalphasereductionforstochasticoscillators AT peterjthomas generalizeddynamicalphasereductionforstochasticoscillators AT benjaminlindner generalizeddynamicalphasereductionforstochasticoscillators AT borisgutkin generalizeddynamicalphasereductionforstochasticoscillators AT albertoperezcervera generalizeddynamicalphasereductionforstochasticoscillators |