(… or … “finding hidden discontinuities in real world models”)
(… or … “living in a nonsmooth world”)
back to The Nonsmooth Coffee Club page
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Below are a collection of application areas, papers, models, and thoughts on the role of discontininuity in them. As this grows we’ll split these off into their own pages.
Health and biology (?)
- Vibro-impact capsules for healthcare (PG) 2013, 2020, 2024
- Insects breathe discontinuously … need to look into their models (MRJ) nature paper
- Lobster noise via stick-slip that we could do full math-modeling on (MRJ) nature paper and pop article
- vocal chord stick-slip here (MJ) model and experiments (AS)
and models of phonation, falsetto onset, and vocal folds (ARC) - oscillatory networks — here PWL insights (AS) from Coombes, Porter et al
- disease/covid/avian-flu models (Brazilians, Chinese)
- glass networks
Genetic regulatory networks (PAG/MRJ)
- Two papers showing that slow-fast GRNs give Filippov limits, including “3d systems where the Filippov dynamics may not be meaningful”. GRN to Filippov and 3d systems
Dynamics of machine learning (CJB)
- A paper that used non-monotonic switching in machine learning is here (MRJ)
Hybrid systems (PAG)
- vibro impact capsules, two papers here and here, and one by Rachel here (PAG)
- Lygeros papers on hybrid systems here and here (PAG)
Economics (MRJ/ARC)
- discontinuities in disequilibrium dynamics with sliding and bang-bang investment (MRJ)
Climate and tipping (CJB)
Low order PWS from data (ARC)
Slow-fast to PWS (DS/AS)
- singularly perturbed boundary layer problems with turning points here (paper also in overleaf folder)
Mechanics (ARC)
Electronics (SJH)
Decision making (MRJ/PAG)
- consensus algorithms survey in flocking and impulsive dynamics (impact/hybrid) approach (PAG)
Nonsmoothland 