Zobrazeno 1 - 10
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pro vyhledávání: '"Budišić, Marko"'
In a system of many similar self-propelled entities such as flocks of birds, fish school, cells and molecules, the interactions with neighbors can lead to a "coherent state", meaning the formation of visually compelling aggregation patterns due to th
Externí odkaz:
http://arxiv.org/abs/2403.03428
Autor:
Dias, Sathsara, Surasinghe, Sudam, Priyankara, Kanaththa, Budišić, Marko, Pratt, Larry, Sanchez-Garrido, José C., Bollt, Erik M.
The Strait of Gibraltar is a region characterized by intricate oceanic sub-mesoscale features, influenced by topography, tidal forces, instabilities, and nonlinear hydraulic processes, all governed by the nonlinear equations of fluid motion. In this
Externí odkaz:
http://arxiv.org/abs/2311.01377
Prediction of the state evolution of complex high-dimensional nonlinear systems is challenging due to the nonlinear sensitivity of the evolution to small inaccuracies in the model. Data Assimilation (DA) techniques improve state estimates by combinin
Externí odkaz:
http://arxiv.org/abs/2307.03262
Publikováno v:
In Journal of Computational Physics 1 October 2024 514
The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing and data science. First-principles derivations and asymptotic reductions are giving way to data-driven approaches that formula
Externí odkaz:
http://arxiv.org/abs/2102.12086
Autor:
Albarakati, Aishah, Budišić, Marko, Crocker, Rose, Glass-Klaiber, Juniper, Iams, Sarah, Maclean, John, Marshall, Noah, Roberts, Colin, Van Vleck, Erik S.
The understanding of nonlinear, high dimensional flows, e.g, atmospheric and ocean flows, is critical to address the impacts of global climate change. Data Assimilation techniques combine physical models and observational data, often in a Bayesian fr
Externí odkaz:
http://arxiv.org/abs/2101.09252
Autor:
Filippi, Margaux, Budisic, Marko, Allshouse, Michael R., Atis, Severine, Thiffeault, Jean-Luc, Peacock, Thomas
Publikováno v:
Physical Review Fluids 5, 054504 (2020)
The growth rate of material interfaces is an important proxy for mixing and reaction rates in fluid dynamics, and can also be used to identify regions of coherence. Estimating such growth rates can be difficult, since they depend on detailed properti
Externí odkaz:
http://arxiv.org/abs/1910.12779
Akademický článek
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The mesochronic velocity is the average of the velocity field along trajectories generated by the same velocity field over a time interval of finite duration. In this paper we classify initial conditions of trajectories evolving in incompressible vec
Externí odkaz:
http://arxiv.org/abs/1506.05333
Autor:
Budisic, Marko, Thiffeault, Jean-Luc
Publikováno v:
Chaos 25, 087407 (2015)
Topological entropy is a common measure of the rate of mixing in a flow. It can be computed by partition methods, or by estimating the growth rate of material lines or other material elements. This requires detailed knowledge of the velocity field, w
Externí odkaz:
http://arxiv.org/abs/1502.02162