Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Jared C. Bronski"'
Publikováno v:
Royal Society Open Science, Vol 4, Iss 9 (2017)
We consider the problem of finding the spectrum of an operator taking the form of a low-rank (rank one or two) non-normal perturbation of a well-understood operator, motivated by a number of problems of applied interest which take this form. We use t
Externí odkaz:
https://doaj.org/article/67cf58b7fec64107a1e318a030a5da64
We examine the spectral stability and instability of periodic traveling waves for regularized long-wave models. Examples include the regularized Boussinesq, Benney--Luke, and Benjamin--Bona--Mahony equations. Of particular interest is a striking new
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91fbb91c2ac774863d44e621e4941942
Autor:
Jared C. Bronski, Timothy Ferguson
Publikováno v:
Physica D: Nonlinear Phenomena. 431:133116
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab7a81f55430f63ce062e6ba87907e97
https://doi.org/10.1016/j.physd.2021.133116
https://doi.org/10.1016/j.physd.2021.133116
In this paper we address two questions about the synchronization of coupled oscillators in the Kuramoto model with all-to-all coupling. In the first part we use some classical results in convex geometry to prove bounds on the size of the frequency se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37f3fca352fe817e03d96fe2e4555c6f
http://arxiv.org/abs/2007.04343
http://arxiv.org/abs/2007.04343
Autor:
Jared C. Bronski, Lan Wang
The Kuramoto model is a canonical model for understanding phase-locking phenomenon. It is well-understood that, in the usual mean-field scaling, full phase-locking is unlikely and that it is partially phase-locked states that are important in applica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f785a713353476bf43e82f8366c2259
Autor:
Jared C. Bronski, Timothy Ferguson
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 17:128-156
The Kuramoto model is a fundamental model for the study of phase locking in systems of coupled oscillators. It is well understood that when the natural frequencies of the oscillators are close toge...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9d67ad80427b76c80d67d708c8de9cb
https://doi.org/10.1137/16m110335x
https://doi.org/10.1137/16m110335x
Beginning with the work of Lohe [14,15] there have been a number of papers [3,5,8,9,11] that have generalized the Kuramoto model for phase-locking to a non-commuting situation. Here we propose and analyze another such model. We consider a collection
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::624d22ba733de80922c4918af41f7607
We identify a class of operator pencils, arising in a number of applications, which have only real eigenvalues. In the one-dimensional case we prove a novel version of the Sturm oscillation theorem: if the dependence on the eigenvalue parameter is of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22fd9125ce91447a41be566973063ccc
http://arxiv.org/abs/1807.10817
http://arxiv.org/abs/1807.10817
The Kuramoto–Sakaguchi model is a generalization of the well-known Kuramoto model that adds a phase-lag paramater or “frustration” to a network of phase-coupled oscillators. The Kuramoto model is a flow of gradient type, but adding a phase-lag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d5e3cda08c9b5ad3a92790c30975647
http://arxiv.org/abs/1803.07962
http://arxiv.org/abs/1803.07962
Publikováno v:
Royal Society Open Science
Royal Society Open Science, Vol 4, Iss 9 (2017)
Royal Society Open Science, Vol 4, Iss 9 (2017)
We consider the problem of finding the spectrum of an operator taking the form of a low-rank (rank one or two) non-normal perturbation of a well-understood operator, motivated by a number of problems of applied interest which take this form. We use t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2068087a2facc38667386b77435b5c6b
http://europepmc.org/articles/PMC5627089
http://europepmc.org/articles/PMC5627089