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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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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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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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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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
core +1 more source
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
core +3 more sources
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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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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Designing self-assembling kinetics with differentiable statistical physics models
Proceedings of the National Academy of Sciences of the United States of America, 2021 Significance Engineering at the nanoscale is rich and complex: researchers have designed small-scale structures ranging from smiley faces to intricate sensors.
C. Goodrich +4 more
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Random Dynamical Systems for Stochastic Evolution Equations Driven by Multiplicative Fractional Brownian Noise with Hurst Parameters H ∈ (1/3, 1/2] [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 We consider the stochastic evolution equation $du=Audt+G(u)d\omega,\quad u(0)=u_0$ in a separable Hilbert space $V$. Here $G$ is supposed to be three times Frechet-differentiable and $\omega$ is a trace class fractional Brownian motion with Hurst ...
M. Garrido-Atienza, K. Lu, B. Schmalfuß
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