Results 21 to 30 of about 57,997 (153)
Slow invariant manifolds as curvature of the flow of dynamical systems [PDF]
, 2014 Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space, it will be established in this article that the curvature of the flow, i.e.
Chua, Leon +2 more
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Forward and Adjoint Sensitivity Computation of Chaotic Dynamical Systems [PDF]
, 2012 This paper describes a forward algorithm and an adjoint algorithm for computing sensitivity derivatives in chaotic dynamical systems, such as the Lorenz attractor.
Eyink +11 more
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Differentiable dynamical systems and the problem of turbulence [PDF]
Bulletin of the American Mathematical Society, 1981 Summary: The paper is a review presented at the Symposium on the Mathematical Heritage of Henry Poincaré in 1980. The author discusses different theories of turbulence. He explains the way dynamical systems appear in the study of Navier-Stokes equation and describes the connection between the turbulence and the ``strange'' attractors theory. The author
openaire +3 more sources
Translation equation and Sincov’s equation – A historical remark
ESAIM: Proceedings and Surveys, 2014 Gottlob Frege (1848 – 1925), the world famous logician was also a pioneer in iteration theory. His habilitation thesis “Rechnungsmethoden, die sich auf eine Erweiterung des Grössenbegriffes gründen” (“Methods of Calculation based on
Gronau Detlef
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Lectures on Structural Stability in Dynamics
, 2017 These lectures present results and problems on the characterization of structurally stable dynamics. We will shed light those which do not seem to depend on the regularity class (holomorphic or differentiable).
Berger, Pierre
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Lyapunov exponent for Lipschitz maps
, 2018 It is well-known that the Lyapunov exponent plays a fundamental role in dynamical systems. In this note, we propose an alternative definition of Lyapunov exponent in terms of Lipschitz maps, which are not necessarily differentiable.
La Guardia, Giuliano G. +1 more
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Ergodicity of a Generalized Jacobi's Equation and Applications [PDF]
, 2015 Consider a $1$-dimensional centered Gaussian process $W$ with $\alpha$-H\"older continuous paths on the compact intervals of $\mathbb R_+$ ($\alpha\in ]0,1[$) and $W_0 = 0$, and $X$ the local solution in rough paths sense of Jacobi's equation driven by ...
Marie, Nicolas
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On Differentiation and Homeostatic Behaviours of Boolean Dynamical Systems [PDF]
, 2006 We study rules proposed by the biologist R. Thomas relating the structure of a concurrent system of interacting genes (represented by a signed directed graph called a regulatory graph) with its dynamical properties. We prove that the results in [10] are stable under projection, and this enables us to relax the assumptions under which they are valid ...
Elisabeth Remy, Paul Ruet
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, 2012 Covariant vectors, Lyapunov vectors, or Oseledets vectors are increasingly being used for a variety of model analyses in areas such as partial differential equations, nonautonomous differentiable dynamical systems, and random dynamical systems.
Adrianova +45 more
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A stochastic-hydrodynamic model of halo formation in charged particle beams [PDF]
, 2003 The formation of the beam halo in charged particle accelerators is studied in the framework of a stochastic-hydrodynamic model for the collective motion of the particle beam.
E. Madelung +16 more
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