Results 1 to 10 of about 74,838 (223)

Implicit analytic solutions for the linear stochastic partial differential beam equation with fractional derivative terms

Systems & control letters (Print), 2018
Analytic solutions in implicit-form are derived for a linear stochastic partial differential equation (SPDE) with fractional derivative terms, which can model the dynamics of a stochastically excited Euler–Bernoulli beam resting on a viscoelastic ...
K. Liaskos, A. Pantelous, I. Kougioumtzoglou, Antonios T. Meimaris   +3 more
semanticscholar   +1 more source

Non-selfadjoint dynamics in black hole hyperboloidal foliations: Keldysh quasinormal expansions and low-regularity transients

Journal of Physics: Conference Series
Evolution systems driven by non-selfadjoint operators present certain genuinely dissipative dynamical features, absent in conservative systems. In a gravitational setting, the choice of a hyperboloidal foliation for the description of wave dynamics on a ...
J'er'emy Besson
semanticscholar   +1 more source

A nonlocal transform to map and track quantum dynamics

Journal of Physics A: Mathematical and Theoretical, 2019
The focus of this work is a correspondence between the Hilbert space operators on one hand, and doubly periodic generalized functions on the other. The linear map that implements it, referred to as the Q-transform, enables a direct application of the ...
A. Sowa
semanticscholar   +1 more source

Sequence Modeling with Spectral Mean Flows

arXiv.org
A key question in sequence modeling with neural networks is how to represent and learn highly nonlinear and probabilistic state dynamics. Operator theory views such dynamics as linear maps on Hilbert spaces containing mean embedding vectors of ...
Jinwoo Kim, Maximilian Beier, Petar Bevanda, N. Kim, Seunghoon Hong   +4 more
semanticscholar   +1 more source

Implementing the Koopman-von Neumann Approach on Continuous-Variable Photonic Quantum Computers

AIAA SCITECH 2026 Forum
The Koopman-von Neumann (KvN) formalism recasts classical mechanics in a Hilbert space framework using complex wavefunctions and linear operators, akin to quantum mechanics.
Xinfeng Gao, Olivier Pfister, Stefan Bekiranov   +2 more
semanticscholar   +1 more source

Perturbation of distributionally chaotic operators

RACSAM, 2021
Zongbin Yin, Zhi-Jing Chen, Yuming Chen, Xinxing Wu   +3 more
semanticscholar   +2 more sources

Koopman Operator in the Weighted Function Spaces and its Learning for the Estimation of Lyapunov and Zubov Functions

American Control Conference
Theoretical properties and data-driven learning of the Koopman operator, which represents nonlinear dynamics as a linear mapping on a properly defined functional spaces, have become key problems in nonlinear system identification and control.
Wentao Tang
semanticscholar   +1 more source

Kernel Operator-Theoretic Bayesian Filter for Nonlinear Dynamical Systems

arXiv.org
Motivated by the surge of interest in Koopman operator theory, we propose a machine-learning alternative based on a functional Bayesian perspective for operator-theoretic modeling of unknown, data-driven, nonlinear dynamical systems.
Kan Li, Jos'e C. Pr'incipe
semanticscholar   +1 more source

Chaotic behavior for the third-order partial differential equations

Filomat
In our investigation, our primary focus has been on a third-order partial differential equation, as expressed below: avttt (y,t) + bvtt (y,t) + cvt (y,t)-?2vyy(y,t)-?yyvt (y,t) = ?v(y,t).
Maghraoui Chaima, A. Taqbibt, Omari El
semanticscholar   +1 more source

Mathematical Tools of Dynamic Systems in Hilbert Spaces

, 2020
Y. Orlov
semanticscholar   +1 more source