Results 11 to 20 of about 43,260 (59)

Lagrangian analysis of fluid transport in empirical vortex ring flows [PDF]

, 2006
In this paper we apply dynamical systems analyses and computational tools to fluid transport in empirically measured vortex ring flows. Measurements of quasisteadily propagating vortex rings generated by a mechanical piston-cylinder apparatus reveal lobe
Dabiri, John O., Marsden, Jerrold E., Shadden, Shawn C.   +2 more
core   +1 more source

Data-Driven Stabilization of Unstable Periodic Orbits of the Three-Body Problem

IEEE Access
Many different models of the physical world exhibit chaotic dynamics, from fluid flows and chemical reactions to celestial mechanics. The study of the three-body problem (3BP) and its many different families of unstable periodic orbits (UPOs) has ...
Owen M. Brook, Jason J. Bramburger, Davide Amato, Urban Fasel   +3 more
doaj   +1 more source

Globalizing manifold-based reduced models for equations and data

Nature Communications
One of the very few mathematically rigorous nonlinear model reduction methods is the restriction of a dynamical system to a low-dimensional, sufficiently smooth, attracting invariant manifold.
Bálint Kaszás, George Haller
doaj   +1 more source

Hamiltonian structure of thermodynamics with gauge

, 2000
The state of a thermodynamic system being characterized by its set of extensive variables $q^{i}(i=1,...,n) ,$ we write the associated intensive variables $\gamma_{i},$ the partial derivatives of the entropy $ S(q^{1},...,q^{n}) \equiv q_{0},$ in the ...
F- Gif, Orme Des Merisiers, Patrick Valentin, Roger Balian, Yvette Cedex   +4 more
core   +5 more sources

Computational Method for Phase Space Transport with Applications to Lobe Dynamics and Rate of Escape

, 2017
Lobe dynamics and escape from a potential well are general frameworks introduced to study phase space transport in chaotic dynamical systems. While the former approach studies how regions of phase space are transported by reducing the flow to a two ...
A.M. Mancho, B. Maelfeyt, B. Sandstede, C. C. Martens, C. Jaffé, C. Jaffé, D. Babyuk, D. Beigie, D. Beigie, D. G. Dritschel, E. E. Zotos, E. E. Zotos, F. A. McRobie, F. Lekien, Francois Lekien, H. Aref, H. Aref, J. Duan, J. O’Rourke, J.M.T. Thompson, K. A. Mitchell, K. A. Mitchell, K. A. Mitchell, M. Dellnitz, M. I. Shamos, M. Toda, M.A. Sepulveda, R. Barrio, R. E. Gillilan, R. S. Mackay, S. Balasuriya, S. Balasuriya, S. Balasuriya, S. Wiggins, S. Wiggins, Sh. D. Ross, Sh. Naik, Shane D. Ross, Shibabrat Naik, V. Rom-Kedar, V. Rom-Kedar, V. Rom-Kedar, W. S. Koon, W. S. Koon, W. S. Koon   +44 more
core   +1 more source

The Hamiltonian formulation of classical field theory [PDF]

, 1988
In this paper I shall present some result from the theory of classical non-relativistic field theory and discuss how they might be useful in the general relativistic context. Some of the Hamiltonian formalism has already been successfully employed in the
Marsden, Jerrold E.
core   +1 more source

Swelling of particle-encapsulating random manifolds

, 2008
We study the statistical mechanics of a closed random manifold of fixed area and fluctuating volume, encapsulating a fixed number of noninteracting particles. Scaling analysis yields a unified description of such swollen manifolds, according to which the
D. M. Kroll, Emir Haleva, Haim Diamant, P.-G. de Gennes, S. A. Safran, W. Helfrich   +5 more
core   +1 more source

Integration of D-dimensional 2-factor spaces cosmological models by reducing to the generalized Emden-Fowler equation [PDF]

, 1998
The D-dimensional cosmological model on the manifold $M = R \times M_{1} \times M_{2}$ describing the evolution of 2 Einsteinian factor spaces, $M_1$ and $M_2$, in the presence of multicomponent perfect fluid source is considered. The barotropic equation
A. Chodos, A. D. Polyanin, A. D. Polyanin, D. L. Wiltshire, D. Lorenz-Petzold, D. Lorenz-Petzold, D. Sahdev, G. Börner, G. W. Gibbons, M. Demiansky, M. Gleiser, M. Rainer, M. Rainer, M. Szydlowski, M. Szydlowski, M. Toda, O. I. Bogoyavlensky, P. Forgacs, P. S. Wesson, T. Koikawa, U. Bleyer, U. Bleyer, V. A. Rubakov, V. D. Ivashchuk, V. D. Ivashchuk, V. D. Ivashchuk, V. D. Ivashchuk, V. D. Ivashchuk, V. D. Ivashchuk, V. N. Melnikov, V. N. Melnikov, V. R. Gavrilov, V. R. Gavrilov, V. R. Gavrilov, V. R. Gavrilov, V. R. Gavrilov, V. R. Gavrilov, V. R. Gavrilov   +37 more
core   +3 more sources

Learning image derived PDE-phenotypes from fMRI data

Brain Informatics
Partial differential equations (PDEs) model various physical phenomena, such as electromagnetic fields and fluid mechanics. Methods such as sparse identification of nonlinear dynamics (SINDy) and PDE-Net 2.0 have been developed to identify and model PDEs
Ion Bica, Ryan Trang, Rui Hu, Wanhua Su, Zhichun Zhai, Qingrun Zhang   +5 more
doaj   +1 more source

Lagrangian Flow Network approach to an open flow model [PDF]

, 2017
Concepts and tools from network theory, the so-called Lagrangian Flow Network framework, have been successfully used to obtain a coarse-grained description of transport by closed fluid flows.
Hernandez-Garcia, Emilio, Lopez, Cristobal, Rodriguez-Mendez, Victor, Ser-Giacomi, Enrico   +3 more
core   +2 more sources