Results 41 to 50 of about 212,072 (202)
Eigendecompositions of Transfer Operators in Reproducing Kernel Hilbert Spaces [PDF]
, 2017 Transfer operators such as the Perron--Frobenius or Koopman operator play an important role in the global analysis of complex dynamical systems. The eigenfunctions of these operators can be used to detect metastable sets, to project the dynamics onto the
Klus, Stefan +2 more
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Engineering Science and Technology, an International Journal, 2018 The aim of this paper is to reveal the effectiveness of Adomian decomposition method (ADM) and differential transform method (DTM) on free vibrations of axial-loaded Timoshenko beams resting on viscoelastic foundation.
Baran Bozyigit +2 more
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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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Measurement + Control, 2022 Omnidirectional mobile manipulators (OMMs) have been widely used due to their high mobility and operating flexibility. However, since OMMs are complex nonlinear systems with uncertainties, the dynamic modeling and control are always challenging problems.
Xuehong Zhu +3 more
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A quantitative analysis of Koopman operator methods for system identification and predictions
Comptes Rendus. Mécanique, 2022 We give convergence and cost estimates for a data-driven system identification method: given an unknown dynamical system, the aim is to recover its vector field and its flow from trajectory data.
Zhang, Christophe, Zuazua, Enrique
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Data-driven model reduction and transfer operator approximation [PDF]
, 2017 In this review paper, we will present different data-driven dimension reduction techniques for dynamical systems that are based on transfer operator theory as well as methods to approximate transfer operators and their eigenvalues, eigenfunctions, and ...
Kevrekidis, Ioannis +6 more
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Journal of Low Frequency Noise, Vibration and Active Control, 2018 Civil engineering structures in essence belong to time-varying and nonlinear structures and the resultant dynamic responses are usually nonstationary signals. A new method is proposed to extract instantaneous frequency of such nonstationary signals.
Jing-Liang Liu +4 more
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Infrastructures, 2022 Even though prefabricated steel Bailey bridges have been used for more than 80 years, limited studies of their structural features have been conducted, most of which do not consider their response in operational conditions.
Vasileios D. Papavasileiou +3 more
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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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Extended Nodal Admittance Matrix Based Stability Analysis of HVDC Connected AC Grids
IEEE Access, 2022 Motivated by emerging HVDC oscillation issues resulted from the interaction with AC grids, impedance-based stability analysis has become an attractive approach in the de-risking studies due to the capability of black-box modelling and clear physical ...
Yonggang Zhang +3 more
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