Results 21 to 30 of about 1,833,044 (301)
Rough Path Theory to Approximate Random Dynamical Systems [PDF]
SIAM Journal on Applied Dynamical Systems, 2020 We consider the rough differential equation $dY=f(Y)d\bm \om$ where $\bm \om=(\omega,\bbomega)$ is a rough path defined by a Brownian motion $\omega$ on $\RR^m$.
Hongjun Gao +4 more
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Auto-differentiable Ensemble Kalman Filters [PDF]
SIAM Journal on Mathematics of Data Science, 2021 Data assimilation is concerned with sequentially estimating a temporally-evolving state. This task, which arises in a wide range of scientific and engineering applications, is particularly challenging when the state is high-dimensional and the state ...
Yuming Chen, D. Sanz-Alonso, R. Willett
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Entropy, 2012 In this paper, we combine the two universalisms of thermodynamics and dynamical systems theory to develop a dynamical system formalism for classical thermodynamics. Specifically, using a compartmental dynamical system energy flow model we develop a state-
Wassim M. Haddad
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Mathematical Biosciences and Engineering, 2020 In the ecological literature, mutual interference (self-interference) or competition among predators (CAP) to effect the harvesting of their prey has been modeled through different mathematical formulations.
Eduardo Gonzalez-Olivares +1 more
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Fluid flow dynamics under location uncertainty [PDF]
, 2013 We present a derivation of a stochastic model of Navier Stokes equations that relies on a decomposition of the velocity fields into a differentiable drift component and a time uncorrelated uncertainty random term.
Mémin, Etienne
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Entropy, 2014 Advances in neuroscience have been closely linked to mathematical modeling beginning with the integrate-and-fire model of Lapicque and proceeding through the modeling of the action potential by Hodgkin and Huxley to the current era.
Wassim M. Haddad +2 more
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Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators [PDF]
, 2009 An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper.
Hoang, N. S., Ramm, A. G.
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Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds [PDF]
, 2020 We develop a general compactification framework to facilitate analysis of nonautonomous ODEs where nonautonomous terms decay asymptotically. The strategy is to compactify the problem: the phase space is augmented with a bounded but open dimension and ...
S. Wieczorek, Chun-ming Xie, C. Jones
semanticscholar +1 more source
Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type
Abstract and Applied Analysis, 2012 This paper deals with the problem of stability for a class of Lur’e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable.
W. Weera, P. Niamsup
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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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