Results 1 to 10 of about 2,574 (114)

Physics-Informed Emulation of Systemic Circulation for Fast Parameter Estimation and Uncertainty Quantification. [PDF]

Int J Numer Method Biomed Eng
This work presents an innovative approach to modelling 1D fluid dynamics in complex networks using physics‐informed neural networks as surrogate models. By integrating physics‐based constraints with data‐driven learning, we develop an efficient and generalisable framework for uncertainty quantification and parameter estimation in real‐world ...
Ryan W, Taylor-LaPole A, Olufsen M, Husmeier D, Vyshemirskiy V.   +4 more
europepmc   +2 more sources

A dynamical systems perspective on the Mid-Pleistocene Transition. [PDF]

J R Soc N Z
ABSTRACT Long‐term cooling of Earth's climate led to repeated glaciations that from the Pliocene (5.3–2.6 Ma) into the Pleistocene (2.6 Ma–11.7 ka) became increasingly cold and asymmetric. Whether this progressive change in global climate was forced by external drivers, or arose entirely from internal feedbacks, is debated.
Golledge NR.
europepmc   +2 more sources

Twirling and whirling: viscous dynamics of rotating elastic filaments. [PDF]

Physical Review Letters, 1999
Motivated by diverse phenomena in cellular biophysics, including bacterial flagellar motion and DNA transcription and replication, we study the overdamped nonlinear dynamics of a rotationally forced filament with twist and bend elasticity.
C. Wolgemuth, T. Powers, Raymond E. Goldstein Department of Physics, Program in Applied Mathematics, U. Arizona, Division of Engineering, A. Sciences, Harvard University   +7 more
semanticscholar   +1 more source

Early-Warning Signs for Pattern-Formation in Stochastic Partial Differential Equations [PDF]

, 2014
There have been significant recent advances in our understanding of the potential use and limitations of early-warning signs for predicting drastic changes, so called critical transitions or tipping points, in dynamical systems.
Gowda, Karna, Kuehn, Christian
core   +2 more sources

Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection [PDF]

, 1998
We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this ‘cycling chaos’ manifests itself as trajectories that spend increasingly long periods lingering near chaotic invariant sets interspersed with short ...
A.M. Rucklidge, Alexander, Ashwin, Ashwin, Ashwin, Ashwin, Barreto, Chow, Covas, Dellnitz, Field, Guckenheimer, Knobloch, Krupa, Matthews, Milnor, Milnor, Ott, Peter Ashwin, Platt, Press, Rucklidge, Rucklidge, Sigmund   +23 more
core   +3 more sources

Analysis of the shearing instability in nonlinear convection and magnetoconvection [PDF]

, 1996
Numerical experiments on two-dimensional convection with or without a vertical magnetic field reveal a bewildering variety of periodic and aperiodic oscillations.
A M Rucklidge, Arnéodo A, Beyn W-J, Brownjohn D P, Brummell N, Champneys A R, Chandrasekhar S, Chui A Y K, Deardorff J W, Dellnitz M, Doedel E, Glendinning P, Glendinning P, Glendinning P, Glendinning P, Golubitsky M, Guckenheimer J, Howard L N, Hughes D W, Knobloch E, Krishnamurti R, Lythe G D, Massaguer J M, Matthews P C, Matthews P C, Moore D R, P C Matthews, Proctor M R E, Proctor M R E, Proctor M R E, Proctor M R E, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rüdiger G, Shil'nikov A L, Sparrow C, Tabeling P, Weiss N O, Willis G E   +41 more
core   +1 more source

Symmetry-breaking instabilities of convection in squares [PDF]

, 1996
Convection in an infinite fluid layer is often modelled by considering a finite box with periodic boundary conditions in the two horizontal directions. The translational invariance of the problem implies that any solution can be translated horizontally ...
Rucklidge, A.M.
core   +2 more sources

Steve Smale and Geometric Mechanics [PDF]

, 1993
Thus, one can say-perhaps with only a slight danger of oversimplification- that reduction theory synthesises the work of Smale, Arnold (and their predecesors of course) into a bundle, with Smale as the base and Arnold as the fiber.
Marsden, Jerrold E.
core   +1 more source

Mathematical models for vaccination, waning immunity and immune system boosting: a general framework [PDF]

, 2015
When the body gets infected by a pathogen or receives a vaccine dose, the immune system develops pathogen-specific immunity. Induced immunity decays in time and years after recovery/vaccination the host might become susceptible again.
Barbarossa, Maria Vittoria, Röst, Gergely   +1 more
core   +2 more sources

Continuation for thin film hydrodynamics and related scalar problems

, 2018
This chapter illustrates how to apply continuation techniques in the analysis of a particular class of nonlinear kinetic equations that describe the time evolution through transport equations for a single scalar field like a densities or interface ...
A Dhooge, A Novick-Cohen, A Novick-Cohen, A Oron, A Oza, A Sharma, AA Golovin, AA Golovin, AJ Archer, B Nicolaenko, C Alfaro, D Avitabile, D Bindel, D Bonn, D Tseluiko, D Wetzel, D Zhelyazov, D. Schüler, DJB Lloyd, E Makrides, E. Siero, EJ Doedel, EJ Doedel, EJ Doedel, F. Doumenc, G Bordyugov, G Sivashinsky, G. Kozyreff, Giovanni Formica, Gyula I Tóth, H Emmerich, H Sakaguchi, H Uecker, H Uecker, H Uecker, HA Dijkstra, HC Chang, HP Fischer, IG Kevrekidis, IL Kliakhandler, IL Kliakhandler, J Burke, J Swift, J Sánchez, J Ziegler, J. D. Crawford, J. H. Snoeijer, JHP Dawes, JM Hyman, John Burke, JW Cahn, JW Cahn, K Spratte, Len M. Pismen, LM Pismen, LÓ Náraigh, M Cates, M Doi, M H Köpf, M Kardar, M Morales, M Net, M Wilczek, M Zaks, Markus Wilczek, MC Cross, MH Köpf, MS Jolly, N Gavish, P Cvitanović, PG Gennes de, Pietro-Luciano Buono, R Seydel, R Wittkowski, RV Craster, S Allen, S Maier-Paape, S Maier-Paape, T Dohnal, Te-Sheng Lin, Tomáš Dohnal, U Thiele, U Thiele, U Thiele, U Thiele, Umberto Marini Bettolo Marconi, Uwe Thiele, VS Mitlin, W Saarloos van, XD Chen, Y Kuramoto, YA Kuznetsov, Yuval R. Zelnik, Zhen Mei, Ľubor Fraštia   +94 more
core   +1 more source