Found 1494 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Data-Driven Approach for Uncertainty Propagation and Reachability Analysis in Dynamical Systems

In this paper, we propose a data-driven approach for uncertainty propagation and reachability analysis in a dynamical system. Expand abstract.
3 days ago
8/10 relevant
arXiv

Almost periodicity and periodicity for nonautonomous random dynamical systems

We present a notion of almost periodicity wich can be applied to random dynamical systems as well as almost periodic stochastic differential equations in Hilbert spaces (abstract stochastic partial differential equations). Expand abstract.
3 days ago
10/10 relevant
arXiv

TPFA Finite Volume Approximation of Wasserstein Gradient Flows

Numerous infinite dimensional dynamical systems arising in different fields have been shown to exhibit a gradient flow structure in the Wasserstein space. Expand abstract.
4 days ago
4/10 relevant
arXiv

Approximation of linear controlled dynamical systems with small random noise and fast periodic sampling

In this paper, we study the dynamics of a linear control system with given state feedback control law in the presence of fast periodic sampling at temporal frequency $1/\delta$ ($0 < \delta \ll 1$), together with small white noise perturbations of size $\varepsilon$ ($0 Expand abstract.
4 days ago
9/10 relevant
arXiv

Dynamical spectrum via determinant-free linear algebra

We consider a sequence of matrices that are associated to Markov dynamical systems and use determinant-free linear algebra techniques (as well as some algebra and complex analysis) to rigorously estimate the eigenvalues of every matrix simultaneously without doing any calculations on the matrices themselves. Expand abstract.
5 days ago
4/10 relevant
arXiv

Causal models for dynamical systems

In this chapter, we provide a natural and straight-forward extension of this concept to dynamical systems, focusing on continuous time models. Expand abstract.
7 days ago
10/10 relevant
arXiv

$C^0$-Stability of Topological Entropy for Contactomorphisms

In this note we show that for some special classes of dynamical systems (geodesic flows, Reeb flows, positive contactomorphisms) topological entropy at least is stable in the sense that there exists a nontrivial continuous lower bound, given that a certain homological invariant grows exponentially. Expand abstract.
8 days ago
7/10 relevant
arXiv

A Tree Adjoining Grammar Representation for Models Of Stochastic Dynamical Systems

In this paper, we propose a TAG that can systematically generate models ranging from FIRs to polynomial NARMAX models. Expand abstract.
9 days ago
8/10 relevant
arXiv

The Impact of Equilibria on the Shape of Hysteresis Loops

Hysteresis is a common phenomenon found in many dynamical systems. Expand abstract.
11 days ago
5/10 relevant
arXiv

Hypoellipticity and the Mori-Zwanzig formulation of stochastic differential equations

We develop a thorough analysis of the Mori-Zwanzig (MZ) formulation for stochastic dynamical systems driven by multiplicative white noise. Expand abstract.
11 days ago
4/10 relevant
arXiv