Saddle avoidance of noise-induced transitions in multiscale systems
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909437109731328 |
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| author | Börner, Reyk Deeley, Ryan Römer, Raphael Grafke, Tobias Lucarini, Valerio Feudel, Ulrike |
| author_facet | Börner, Reyk Deeley, Ryan Römer, Raphael Grafke, Tobias Lucarini, Valerio Feudel, Ulrike |
| contents | In multistable dynamical systems driven by weak Gaussian noise, transitions between competing states are often assumed to pass via a saddle on the separating basin boundary. By contrast, we show that timescale separation can cause saddle avoidance in non-gradient systems. Using toy models from neuroscience and ecology, we study cases where sample transitions deviate strongly from the instanton predicted by Freidlin-Wentzell theory, even for weak finite noise. We attribute this to a flat quasipotential and present an approach based on the Onsager-Machlup action to aptly predict transition paths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10231 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Saddle avoidance of noise-induced transitions in multiscale systems Börner, Reyk Deeley, Ryan Römer, Raphael Grafke, Tobias Lucarini, Valerio Feudel, Ulrike Dynamical Systems Statistical Mechanics Neurons and Cognition Populations and Evolution In multistable dynamical systems driven by weak Gaussian noise, transitions between competing states are often assumed to pass via a saddle on the separating basin boundary. By contrast, we show that timescale separation can cause saddle avoidance in non-gradient systems. Using toy models from neuroscience and ecology, we study cases where sample transitions deviate strongly from the instanton predicted by Freidlin-Wentzell theory, even for weak finite noise. We attribute this to a flat quasipotential and present an approach based on the Onsager-Machlup action to aptly predict transition paths. |
| title | Saddle avoidance of noise-induced transitions in multiscale systems |
| topic | Dynamical Systems Statistical Mechanics Neurons and Cognition Populations and Evolution |
| url | https://arxiv.org/abs/2311.10231 |