Results 31 to 40 of about 2,681,020 (311)

Human Brain Networks: Spiking Neuron Models, Multistability, Synchronization, Thermodynamics, Maximum Entropy Production, and Anesthetic Cascade Mechanisms

open access: yesEntropy, 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
doaj   +1 more source

Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds [PDF]

open access: yes, 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

Fluid flow dynamics under location uncertainty [PDF]

open access: yes, 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
core   +3 more sources

Topological dynamics and linear differential systems

open access: yesJournal of Differential Equations, 1982
Topological dynamics and linear differential ...
JOHNSON, RUSSELL ALLAN, R. Ellis
openaire   +2 more sources

NeuralSim: Augmenting Differentiable Simulators with Neural Networks [PDF]

open access: yesIEEE International Conference on Robotics and Automation, 2020
Differentiable simulators provide an avenue for closing the sim-to-real gap by enabling the use of efficient, gradient-based optimization algorithms to find the simulation parameters that best fit the observed sensor readings.
Eric Heiden   +4 more
semanticscholar   +1 more source

Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type

open access: yesAbstract 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
doaj   +1 more source

Regularization of hidden dynamics in piecewise smooth flows [PDF]

open access: yes, 2015
This paper studies the equivalence between differentiable and non-differentiable dynamics in Rn. Filippov's theory of discontinuous differential equations allows us to find flow solutions of dynamical systems whose vector fields undergo switches at ...
Jeffrey, Mike R., Novaes, Douglas D.
core   +3 more sources

Translation equation and Sincov’s equation – A historical remark

open access: yesESAIM: 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
doaj   +1 more source

Forward and Adjoint Sensitivity Computation of Chaotic Dynamical Systems [PDF]

open access: yes, 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
core   +2 more sources

Bayesian Differential Privacy for Linear Dynamical Systems [PDF]

open access: yesIEEE Control Systems Letters, 2022
Differential privacy is a privacy measure based on the difficulty of discriminating between similar input data. In differential privacy analysis, similar data usually implies that their distance does not exceed a predetermined threshold. It, consequently, does not take into account the difficulty of distinguishing data sets that are far apart, which ...
Genki Sugiura, Kaito Ito, Kenji Kashima
openaire   +3 more sources

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