Singularities of invariant densities for random switching between two linear ODEs in 2D
Publication
, Journal Article
Bakhtin, Y; Hurth, T; Lawley, SD; Mattingly, JC
Published in: SIAM Journal on Applied Dynamical Systems
January 1, 2021
We consider a planar dynamical system generated by two stable linear vector fields with distinct fixed points and random switching between them. We characterize singularities of the invariant density in terms of the switching rates and contraction rates. We prove boundedness away from those singularities. We also discuss some motivating biological examples.
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Published In
SIAM Journal on Applied Dynamical Systems
DOI
EISSN
1536-0040
Publication Date
January 1, 2021
Volume
20
Issue
4
Start / End Page
1917 / 1958
Related Subject Headings
- Fluids & Plasmas
- 4901 Applied mathematics
- 0102 Applied Mathematics
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Bakhtin, Y., Hurth, T., Lawley, S. D., & Mattingly, J. C. (2021). Singularities of invariant densities for random switching between two linear ODEs in 2D. SIAM Journal on Applied Dynamical Systems, 20(4), 1917–1958. https://doi.org/10.1137/20M1364345
Bakhtin, Y., T. Hurth, S. D. Lawley, and J. C. Mattingly. “Singularities of invariant densities for random switching between two linear ODEs in 2D.” SIAM Journal on Applied Dynamical Systems 20, no. 4 (January 1, 2021): 1917–58. https://doi.org/10.1137/20M1364345.
Bakhtin Y, Hurth T, Lawley SD, Mattingly JC. Singularities of invariant densities for random switching between two linear ODEs in 2D. SIAM Journal on Applied Dynamical Systems. 2021 Jan 1;20(4):1917–58.
Bakhtin, Y., et al. “Singularities of invariant densities for random switching between two linear ODEs in 2D.” SIAM Journal on Applied Dynamical Systems, vol. 20, no. 4, Jan. 2021, pp. 1917–58. Scopus, doi:10.1137/20M1364345.
Bakhtin Y, Hurth T, Lawley SD, Mattingly JC. Singularities of invariant densities for random switching between two linear ODEs in 2D. SIAM Journal on Applied Dynamical Systems. 2021 Jan 1;20(4):1917–1958.
Published In
SIAM Journal on Applied Dynamical Systems
DOI
EISSN
1536-0040
Publication Date
January 1, 2021
Volume
20
Issue
4
Start / End Page
1917 / 1958
Related Subject Headings
- Fluids & Plasmas
- 4901 Applied mathematics
- 0102 Applied Mathematics