Results 31 to 40 of about 1,226,242 (181)
, 2015 We present upper bounds for the numerical errors introduced when using operator splitting methods to integrate transport and non-linear chemistry processes in global chemical transport models (CTM).
Santillana, Mauricio +2 more
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Applied Koopman Operator Theory for Power Systems Technology [PDF]
, 2016 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 ...
Hikihara, Takashi +3 more
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Operator space and operator system analogs of Kirchberg's nuclear embedding theorem
, 2015 The Gurarij operator space $\mathbb{NG}$ introduced by Oikhberg is the unique separable $1$-exact operator space that is approximately injective in the category of $1$-exact operator spaces and completely isometric linear maps.
Lupini, Martino
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Linear identification of nonlinear systems: A lifting technique based on the Koopman operator [PDF]
, 2016 We exploit the key idea that nonlinear system identification is equivalent to linear identification of the socalled Koopman operator. Instead of considering nonlinear system identification in the state space, we obtain a novel linear identification ...
Goncalves, Jorge, Mauroy, Alexandre
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Assistive Planning in Complex, Dynamic Environments: a Probabilistic Approach
, 2015 We explore the probabilistic foundations of shared control in complex dynamic environments. In order to do this, we formulate shared control as a random process and describe the joint distribution that governs its behavior. For tractability, we model the
Trautman, Pete
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Koopman Operator and its Approximations for Systems with Symmetries [PDF]
, 2019 Nonlinear dynamical systems with symmetries exhibit a rich variety of behaviors, including complex attractor-basin portraits and enhanced and suppressed bifurcations.
Crutchfield, James P. +4 more
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Dilatations of Linear Operators
Современная математика: Фундаментальные направления, 2020 The article is devoted to building various dilatations of linear operators. The explicit construction of a unitary dilation of a compression operator is considered.
Yu. L. Kudryashov
doaj +1 more source
Expanding direction of the period doubling operator
, 1991 We prove that the period doubling operator has an expanding direction at the fixed point. We use the induced operator, a ``Perron-Frobenius type operator'', to study the linearization of the period doubling operator at its fixed point.
Dennis Sullivan +10 more
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Continuous-Like Linear Operators on Bilinear Spaces
Journal of Mathematical and Fundamental Sciences, 2020 This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to ...
Sabarinsyah Sabarinsyah +2 more
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, 2012 The present paper is a sequel to our paper "Metric characterization of isometries and of unital operator spaces and systems". We characterize certain common objects in the theory of operator spaces (unitaries, unital operator spaces, operator systems ...
Blecher, David P., Neal, Matthew
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