Results 1 to 10 of about 2,681,020 (311)

DIFFERENTIABLE DYNAMICAL SYSTEMS [PDF]

open access: greenBulletin of the American Mathematical Society, 2010
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.
S. SMALE
semanticscholar   +6 more sources

Complexities of differentiable dynamical systems [PDF]

open access: yesJournal of Mathematical Physics, 2020
We define the notion of localizable property for a dynamical system. Then, we survey three properties of complexity and relate how they are known to be typical among differentiable dynamical systems. These notions are the fast growth of the number of periodic points, the positive entropy, and the high emergence.
P. Berger
openaire   +6 more sources

Classical Fisher information for differentiable dynamical systems [PDF]

open access: yesChaos: An Interdisciplinary Journal of Nonlinear Science, 2023
Fisher information is a lower bound on the uncertainty in the statistical estimation of classical and quantum mechanical parameters. While some deterministic dynamical systems are not subject to random fluctuations, they do still have a form of uncertainty.
Mohamed Sahbani   +2 more
openaire   +4 more sources

Differentiable dynamical systems and the problem of turbulence [PDF]

open access: yesBulletin of the American Mathematical Society, 1981
1. Conservative and dissipative dynamical systems. The mathematical study of differentiable dynamical systems has its origin in the desire to understand the time evolutions which occur in nature.
D. Ruelle
openaire   +6 more sources

On differentially dissipative dynamical systems [PDF]

open access: yesIFAC 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   +4 more sources

Landau: A Language for Dynamical Systems with Automatic Differentiation [PDF]

open access: greenJournal 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 ...
Ivan Dolgakov, Dmitry Pavlov
openalex   +5 more sources

Time-varying Projected Dynamical Systems with Applications to Feedback Optimization of Power Systems [PDF]

open access: yesIEEE Conference on Decision and Control, 2018
This paper is concerned with the study of continuous-time, non-smooth dynamical systems which arise in the context of time-varying non-convex optimization problems, as for example the feedback-based optimization of power systems. We generalize the notion
Bolognani, Saverio   +4 more
core   +2 more sources

On the existence of invariant tori in non-conservative dynamical systems with degeneracy and finite differentiability

open access: goldDiscrete and Continuous Dynamical Systems. Series A, 2019
In this paper, we establish a KAM-theorem about the existenceof invariant tori in non-conservative dynamical systems with finitely differentiable vector fields and multiple degeneracies under the assumption that theintegrable part is finitely ...
Xue-Mei Li, Zaijiu Shang
openalex   +3 more sources

Ergodic theory of differentiable dynamical systems [PDF]

open access: yesPublications mathématiques de l'IHÉS, 1979
Iff is a C1 + ɛ diffeomorphism of a compact manifold M, we prove the existence of stable manifolds, almost everywhere with respect to everyf-invariant probability measure on M. These stable manifolds are smooth but do not in general constitute a continuous family.
D. Ruelle
openaire   +2 more sources

On Differentiation and Homeostatic Behaviours of Boolean Dynamical Systems [PDF]

open access: green, 2007
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 ...
Élisabeth Rémy, Paul Ruet
openalex   +4 more sources

Home - About - Disclaimer - Privacy