Results 31 to 40 of about 9,461,902 (204)
Axioms, 2015 Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various ...
Viorel Nitica, Andrei Török
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Model-independent embedding of directed networks into Euclidean and hyperbolic spaces
Communications Physics, 2023 Numerous results support that networks representing the structure of complex systems can be accompanied by hidden metric spaces. The present paper introduces a framework for embedding directed networks into hyperbolic spaces using dimension reduction ...
Bianka Kovács, Gergely Palla
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On the uniform hyperbolicity of some nonuniformly hyperbolic systems [PDF]
Proceedings of the American Mathematical Society, 2002 We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonuniformly expanding on sets of total probability (probability one with respect to every invariant probability measure) are necessarily uniformly expanding.
Alves, José F. +2 more
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The asymptotics in quasi-linear hyperbolic systems
Lietuvos Matematikos Rinkinys, 1998 The averaging method for asymptotical solution construction in first order partial derivatives systems is described.
Aleksandras Krylovas
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Deterministic and Stochastic Dynamics in Spinodal Decomposition of a Binary System
Успехи физики металлов, 2009 A model for diffusion and phase separation, which takes into account hyperbolic relaxation of the solute diffusion flux, is developed. Such a ‘hyperbolic model’ provides analysis of ‘hyperbolic evolution’ of patterns in spinodal decomposition in systems ...
D. O. Kharchenko, P. K. Galenko, V. G. Lebedev
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Fluids, 2018 The Noble–Abel Stiffened-Gas (NASG) equation of state (Le Métayer, O. and Saurel, R. proposed in 2016) is extended to variable attractive and repulsive effects to improve the liquid phase accuracy when large temperature and pressure variation ranges are ...
Alexandre Chiapolino, Richard Saurel
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Hyperbolic structures and root systems [PDF]
, 2010 We discuss the construction of a one parameter family of complex hyperbolic structures on the complement of a toric mirror arrangement associated with a simply laced root system. Subsequently we find conditions for which parameter values this leads to ball quotients.
Heckman, Gert, Looijenga, E.
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Absorbing boundary conditions for hyperbolic systems [PDF]
, 2009 This paper deals with absorbing boundary conditions for hyperbolic systems in one and two space dimensions. We prove the strict well-posedness of the resulting initial boundary value problem in 1D.
Erhardt, Matthias +2 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We made the comparison study and characterize the spectral properties of differential operators induced by the Dirichlet problem for the hyperbolic system without the lowest terms of the form $$ \cfrac{\partial^2{u^1}}{\partial{t}^2}+\cfrac{\partial^2{u ...
Olesya V Alexeeva +2 more
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A review of numerical asymptotic averaging for weakly nonlinear hyperbolic waves
Mathematical Modelling and Analysis, 2004 We present an overview of averaging method for solving weakly nonlinear hyperbolic systems. An asymptotic solution is constructed, which is uniformly valid in the “large” domain of variables t + |x| ∼ O(ϵ –1).
A. Krylovas, R. Čiegis
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