Results 1 to 10 of about 2,073 (254)
DIFFERENTIABLE DYNAMICAL SYSTEMS [PDF]
Bulletin of the American Mathematical Society, 1967 This is a survey article on the area of global analysis defined by differentiable dynamical systems or equivalently the action (differentiable) of a Lie group G on a manifold M. An action is a homomorphism G→Diff(M) such that the induced map G×M→M is differentiable.
Stephen T. Smale
+7 more sources
Landau: A Language for Dynamical Systems with Automatic Differentiation [PDF]
Journal of Mathematical Sciences, 2020 Most numerical solvers used to determine free variables of dynamical systems rely on first-order derivatives of the state of the system w.r.t. the free variables. The number of the free variables can be fairly large. One of the approaches of obtaining those derivatives is the integration of the derivatives simultaneously with the dynamical equations ...
Dmitry Pavlov, Ivan Dolgakov
+8 more sources
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 ...
Paul Ruet, Elisabeth Remy
openaire +4 more sources
Homomorphisms of differentiable dynamical systems [PDF]
Kyoto Journal of Mathematics, 1974 Toshio Niwa
openaire +4 more sources
Dynamic Gains Differentiator for Hydraulic System Control [PDF]
Journal of Dynamic Systems, Measurement, and Control, 2015 This paper deals with online numerical differentiation of a noisy time signal where new higher order sliding mode differentiators are proposed. The key point of these algorithms is to include a dynamic on the differentiator parameters. These dynamics tune-up automatically the algorithm gains in real-time.
Sidhom, Lilia +4 more
openaire +6 more sources
Sampled-Data Consensus for Networked Euler-Lagrange Systems With Differentiable Scaling Functions
IEEE Access, 2021 This paper is concerned with the sampled-data consensus of networked Euler-Lagrange systems. The Euler-Lagrange system has enormous advantages in analyzing and designing dynamical systems.
Yilin Wang +3 more
doaj +1 more source
Differentiability of the Largest Lyapunov Exponent for Non-Planar Open Billiards
Mathematics, 2023 This paper investigates the behaviour of open billiard systems in high-dimensional spaces. Specifically, we estimate the largest Lyapunov exponent, which quantifies the rate of divergence between nearby trajectories in a dynamical system.
Amal Al Dowais
doaj +1 more source
Differential dynamic microscopy for the characterization of polymer systems [PDF]
Journal of Polymer Science, 2021 AbstractThis review summarizes recent progress in investigating polymer systems by using Differential dynamic microscopy (DDM), a rapidly emerging approach that transforms a commercial microscope by combining real‐space information with the powerful capabilities of conventional light scattering analysis.
Roberto Cerbino +3 more
openaire +5 more sources
A Mean-Field Game Control for Large-Scale Swarm Formation Flight in Dense Environments
Sensors, 2022 As an important part of cyberphysical systems (CPSs), multiple aerial drone systems are widely used in various scenarios, and research scenarios are becoming increasingly complex.
Guofang Wang +3 more
doaj +1 more source
On differentially dissipative dynamical systems [PDF]
IFAC Proceedings Volumes, 2013 Dissipativity is an essential concept of systems theory. The paper provides an extension of dissipativity, named differential dissipativity, by lifting storage functions and supply rates to the tangent bundle. Differential dissipativity is connected to incremental stability in the same way as dissipativity is connected to stability.
Forni, F, Sepulchre, R
openaire +3 more sources