Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Jason J Bramburger"'
Autor:
Kadierdan Kaheman, Urban Fasel, Jason J. Bramburger, Benjamin Strom, J. Nathan Kutz, Steven L. Brunton
Publikováno v:
HardwareX, Vol 15, Iss , Pp e00465- (2023)
The single, double, and triple pendulum has served as an illustrative experimental benchmark system for scientists to study dynamical behavior for more than four centuries. The pendulum system exhibits a wide range of interesting behaviors, from simp
Externí odkaz:
https://doaj.org/article/6134041122964c60991dc8b279a48113
Publikováno v:
IEEE Access, Vol 9, Pp 43504-43521 (2021)
Periodic orbits are among the simplest non-equilibrium solutions to dynamical systems, and they play a significant role in our modern understanding of the rich structures observed in many systems. For example, it is known that embedded within any cha
Externí odkaz:
https://doaj.org/article/f874acd169d2486f8ec822652ff178aa
Publikováno v:
Nonlinearity. 36:2567-2630
Fully localised patterns involving cellular hexagons or squares have been found experimentally and numerically in various continuum models. However, there is currently no mathematical theory for the emergence of these localised cellular patterns from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6223514d4d1778e777eb431bda757dbf
https://doi.org/10.1088/1361-6544/acc508
https://doi.org/10.1088/1361-6544/acc508
Publikováno v:
Nonlinear Dynamics. 111:7199-7233
Pendulums are simple mechanical systems that have been studied for centuries and exhibit many aspects of modern dynamical systems theory. In particular, the double pendulum is a prototypical chaotic system that is frequently used to illustrate a vari
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a64903bd7a223498c26d363fb0348182
https://doi.org/10.1007/s11071-023-08232-0
https://doi.org/10.1007/s11071-023-08232-0
Publikováno v:
Physics Letters B, Vol 797, Iss , Pp - (2019)
Dark matter substructure has the potential to discriminate between broad classes of dark matter models. With this in mind, we construct novel solutions to the equations of motion governing condensate dark matter candidates, namely axion Bose-Einstein
Externí odkaz:
https://doaj.org/article/1104c7b768294c85bc455df35475968a
Publikováno v:
Archive for Rational Mechanics and Analysis. 241:643-681
We consider a coupled reaction-advection-diffusion system based on the Fisher-KPP and Burgers equations. These equations serve as a one-dimensional version of a model for a reacting fluid in which the arising density differences induce a buoyancy for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a90b9e6a2253e7f906134ed74a7c9cc
https://doi.org/10.1007/s00205-021-01660-5
https://doi.org/10.1007/s00205-021-01660-5
Autor:
Kadierdan Kaheman, Urban Fasel, Jason J. Bramburger, Benjamin Strom, J. Nathan Kutz, Steven L. Brunton
The single, double, and triple pendulum has served as an illustrative experimental benchmark system for scientists to study dynamical behavior for more than four centuries. The pendulum system exhibits a wide range of interesting behaviors, from simp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ab10bd53839131b4a5a108a1ca5afd6
Autor:
Jason J. Bramburger
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 151:916-952
This work investigates the existence and bifurcation structure of multi-pulse steady-state solutions to bistable lattice dynamical systems. Such solutions are characterized by multiple compact disconnected regions where the solution resembles one of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a712eace75e8806a00c57ca2cbbb55a
https://doi.org/10.1017/prm.2020.44
https://doi.org/10.1017/prm.2020.44
Autor:
Jason J. Bramburger
Publikováno v:
Journal of Differential Equations. 268:3201-3254
In this manuscript we consider the stability of periodic solutions to Lambda-Omega lattice dynamical systems. In particular, we show that an appropriate ansatz casts the lattice dynamical system as an infinite-dimensional fast-slow differential equat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a70b9962123ccc2e67bcf597ed940ae
https://doi.org/10.1016/j.jde.2019.09.053
https://doi.org/10.1016/j.jde.2019.09.053
Autor:
Chloe I. Avery, Björn Sandstede, Jason J. Bramburger, Dylan J. Altschuler, Margaret Beck, Tharathep Sangsawang, Paul A. Carter
Localized roll patterns are structures that exhibit a spatially periodic profile in their center. When following such patterns in a system parameter in one space dimension, the length of the spatial interval over which these patterns resemble a perio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f75b507fca4b1eb533c006fb899290f
http://arxiv.org/abs/2203.11345
http://arxiv.org/abs/2203.11345