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On third order hyperbolic equations [PDF]
In this note the author considers the Cauchy problem in Gevrey classes for a third order hyperbolic equation the coefficients of which depend only on the time variable and are degenerate at the initial plane. He investigates the relation among the order of degeneration of coefficients and the index of Gevrey class in which the Cauchy problem is well ...
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An Improved Third-Order Generalized Integral Flux Observer for Sensorless Drive of PMSMs
IEEE transactions on industrial electronics (1982. Print), 2019Due to various nonideal factors, including integral initial value, parameter mismatches, converter nonlinearities, and detection errors, the estimated rotor flux by the conventional first-order integrator and low-pass filter suffers the dc offset and ...
Yajie Jiang +4 more
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A third-order differential equation
USSR Computational Mathematics and Mathematical Physics, 1987The equation \[ \tau \frac{\partial}{\partial t}(\frac{\partial^ 2}{\partial t^ 2}u-c^ 2_ 0(1+m)\Delta u)+(\frac{\partial^ 2}{\partial t^ 2}u-c^ 2_ 0\Delta u)=0,\quad m=(c^ 2_{\infty}- c^ 2_ 0)/c^ 2_ 0>0, \] describes the propagation of the acoustic oscillations.
S. A. Gabov, A. A. Tikilyainen
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Journal of Scientific Computing, 2019
In this paper we propose and analyze a (temporally) third order accurate exponential time differencing (ETD) numerical scheme for the no-slope-selection (NSS) equation of the epitaxial thin film growth model, with Fourier pseudo-spectral discretization ...
Kelong Cheng, Zhonghua Qiao, Cheng Wang
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In this paper we propose and analyze a (temporally) third order accurate exponential time differencing (ETD) numerical scheme for the no-slope-selection (NSS) equation of the epitaxial thin film growth model, with Fourier pseudo-spectral discretization ...
Kelong Cheng, Zhonghua Qiao, Cheng Wang
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Third Order Dispersion in Time-Delayed Systems.
Physical Review Letters, 2019Time-delayed dynamical systems materialize in situations where distant, pointwise, nonlinear nodes exchange information that propagates at a finite speed.
C. Schelte +9 more
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Application of Third-Order Harmonic Voltage Injection in a Modular Multilevel Converter
IEEE transactions on industrial electronics (1982. Print), 2018This study adopts the method of third-order harmonic voltage injection (THVI) to move the peak value of a reference voltage toward the high capacitor voltage and increase the utilization rate of the capacitor voltage.
Gaopeng Guo +6 more
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A Third Order Point Process Characteristic [PDF]
Second order characteristics, in particular Ripley's K‐function, are widely used for the statistical analysis of point patterns. We examine a third order analogue, namely the mean number T(r) of r‐close triples of points per unit area. Equivalently this is the expected number of r‐close point pairs in an r‐neighbourhood of the typical point.
Katja Schladitz, Adrian Baddeley
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Gate-tunable third-order nonlinear optical response of massless Dirac fermions in graphene
Nature Photonics, 2017Graphene with massless Dirac fermions can have exceptionally strong third-order optical nonlinearities. Yet reported values of nonlinear optical susceptibilities for third-harmonic generation (THG), four-wave mixing (FWM) and self-phase modulation vary ...
Tao Jiang +16 more
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Information and third order ontology
Biosystems, 1998The question of 'a unified theory of information' is addressed from the logical position of many-valued ontologies. Information is described as an operational factor which forms a trans-contextural bridge between disjunct ontological systems (or monocontextures).
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