Results 21 to 30 of about 2,455,315 (322)
New Journal of Physics, 2022 We investigate the dynamics of open quantum systems which are initially correlated with their environment. The strategy of our approach is to analyze how given, fixed initial correlations modify the evolution of the open system with respect to the ...
Alessandra Colla +2 more
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On the structure of time-delay embedding in linear models of non-linear dynamical systems. [PDF]
Chaos, 2019 This work addresses fundamental issues related to the structure and conditioning of linear time-delayed models of non-linear dynamics on an attractor.
Shaowu Pan, K. Duraisamy
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Modern Koopman Theory for Dynamical Systems [PDF]
SIAM Review, 2021 The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing and data science. First-principles derivations and asymptotic reductions are giving way to data-driven approaches that formulate ...
S. Brunton +3 more
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Linear Dynamical Systems [PDF]
Proceedings of the American Mathematical Society, 1976 We consider a probability measure m m on a Hilbert space X X and a bounded linear transformation on X X that preserves the measure. We characterize the linear dynamical systems ( X , m , T ) (X,m,T) for the cases where either
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Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms [PDF]
Physics of Plasmas, 2020 The simulation of large nonlinear dynamical systems, including systems generated by discretization of hyperbolic partial differential equations, can be computationally demanding.
A. Engel, Graeme Smith, S. Parker
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Application of the dynamical damper in a piecewise linear system
Lietuvos Matematikos Rinkinys, 2002 The linear dynamical damper of nonlinear system functions better than in linear system. It can compensate excitation in the wild diapason of frequency.
Genovaitė Zaksienė
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Identification of linear dynamic systems
Information and Control, 1964 A real time computational method is presented for the identification of linear discrete dynamic systems with unknown parameters. It is shown that the method is globally convergent to the true parameters in a stochastic environment. Experimental simulation of 2nd and 4th order systems further affirms the practicality of the method.
Yu-Chi Ho, R.C.K. Lee
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On-Line Learning of Linear Dynamical Systems: Exponential Forgetting in Kalman Filters [PDF]
AAAI Conference on Artificial Intelligence, 2018 The Kalman filter is a key tool for time-series forecasting and analysis. We show that the dependence of a prediction of Kalman filter on the past is decaying exponentially, whenever the process noise is non-degenerate.
Mark Kozdoba +3 more
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Irish Mathematical Society Bulletin, 2020 This expository survey is dedicated to recent developments in the area of linear dynamics. Topics include frequent hypercyclicity, $\mathcal{U}$-frequent hypercyclicity, reiterative hypercyclicity, operators of C-type, Li-Yorke and distributional chaos, and hypercyclic algebras.
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A Game—Theoretic Model for a Stochastic Linear Quadratic Tracking Problem
Axioms, 2023 In this paper, we solve a stochastic linear quadratic tracking problem. The controlled dynamical system is modeled by a system of linear Itô differential equations subject to jump Markov perturbations.
Vasile Drăgan +2 more
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