Applications of Koopman Operator Theory to Highway Traffic Dynamics.
The ever-increasing demands on transportation systems have led to the need for a robust and universal method for the analysis and forecasting of vehicular traffic systems. Traditional methods are mainly model-based, that is, the analysis is performed by investigating a mathematical model that represents the target dynamics of a traffic system.
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Applied Koopman operator theory for power systems technology
Koopman operator is a composition operator defined for a dynamical system described by nonlinear differential or difference equation. Although the original system is nonlinear and evolves on a finite-dimensional state space, the Koopman operator itself is linear but infinite-dimensional (evolves on a function space).
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Latent persistence in fMRI dynamics during human memory consolidation. [PDF]
Bartzioka M, Khosravi M.
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Koopman global linearization of contact dynamics for robot locomotion and manipulation enables elaborate control. [PDF]
O'Neill C, Terrones J, Asada HH.
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Unraveling Lithium Dynamics in Solid Electrolyte Interphase: From Graph Contrastive Learning to Transport Pathways. [PDF]
Guan Q, Cai Y.
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Physics-informed Koopman learning approach for fixed-time synchronization of stochastic neural dynamics. [PDF]
P M, Mani P.
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Data-driven forecasting of Flu, RSV, and COVID-19 related outcomes in the United States and Canada via Hankel dynamic mode decomposition. [PDF]
Redman WT, Mullany LC.
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From data chaos to physically interpretable deterministic mapping. [PDF]
Jia D +5 more
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Intermittent Two-Point Dynamics at the Transition to Chaos for Random Circle Endomorphisms. [PDF]
Goverse VPH, Homburg AJ, Lamb JSW.
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Koopman-von Neumann and Weyl-Wigner Phase-Space Formulation of Inviscid Euler Flows. [PDF]
Molnar SM, Godfrey JR.
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