Results 31 to 40 of about 1,757,011 (294)
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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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
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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Topological dynamics and linear differential systems
Journal of Differential Equations, 1982 Topological dynamics and linear differential ...
JOHNSON, RUSSELL ALLAN, R. Ellis
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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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NeuralSim: Augmenting Differentiable Simulators with Neural Networks [PDF]
IEEE 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
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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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The dynamical systems approach to differential equations [PDF]
Bulletin of the American Mathematical Society, 1984 This paper contains three chapters, as follows: Chapter I: Historical background; Chapter II: Convergence, chaos and stability; Chapter III: Convergence and stability in monotone flows. The author gives a remarkable survey of the basic themes in dynamical systems theory.
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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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Covariant gauge fixing and Kuchar decomposition [PDF]
, 1999 The symplectic geometry of a broad class of generally covariant models is studied. The class is restricted so that the gauge group of the models coincides with the Bergmann-Komar group and the analysis can focus on the general covariance.
A. Ashtekar +33 more
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