Results 11 to 20 of about 43,260 (59)
Lagrangian analysis of fluid transport in empirical vortex ring flows [PDF]
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. +2 more
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Data-Driven Stabilization of Unstable Periodic Orbits of the Three-Body Problem
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 +3 more
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Globalizing manifold-based reduced models for equations and data
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
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Hamiltonian structure of thermodynamics with gauge
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 +4 more
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Computational Method for Phase Space Transport with Applications to Lobe Dynamics and Rate of Escape
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 +44 more
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The Hamiltonian formulation of classical field theory [PDF]
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.
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Swelling of particle-encapsulating random manifolds
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 +5 more
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Integration of D-dimensional 2-factor spaces cosmological models by reducing to the generalized Emden-Fowler equation [PDF]
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 +37 more
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Learning image derived PDE-phenotypes from fMRI data
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 +5 more
doaj +1 more source
Lagrangian Flow Network approach to an open flow model [PDF]
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 +3 more
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