Results 31 to 40 of about 7,200,415 (325)
Spatio-temporal structure of traffic flow in a system with an open boundary
The spatio-temporal structure of traffic flow pattern is investigated under the open boundary condition using the optimal velocity (OV) model. The parameter region where the uniform solution is convectively unstable is determined.
Mitarai, Namiko, Nakanishi, Hiizu
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On oscillatory solutions of differential inequalities [PDF]
Oscillation properties are proved for systems of differential inequalities of the type \(\alpha_ iy_ i'y_{i+1}>0\) for \(y_{i+1}\neq 0\), \(y_ i'=0\) if \(y_{i+1}=0\), \(i=1,\dots,n\) in an interval \((a,b ...
openaire +2 more sources
We analyzed the stability of the uniform flow solution in the optimal velocity model for traffic and granular flow under the open boundary condition. It was demonstrated that, even within the linearly unstable region, there is a parameter region where ...
Aider J. L. +16 more
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Asymptotic Preserving numerical schemes for multiscale parabolic problems [PDF]
We consider a class of multiscale parabolic problems with diffusion coefficients oscillating in space at a possibly small scale $\varepsilon$. Numerical homogenization methods are popular for such problems, because they capture efficiently the asymptotic
Crouseilles, Nicolas +2 more
core +6 more sources
Comparison of properties of solutions of differential equations and recurrence equations with the same characteristic equation (on example of third order linear equations with constant coefficients) [PDF]
Third order linear homogeneous differential and recurrence equations with constant coefficients are considered. We take the both equations with the same characteristic equation.
Jarosław Mikołajski, Ewa Schmeidel
doaj
Disk Partition Function and Oscillatory Rolling Tachyons
An exact cubic open string field theory rolling tachyon solution was recently found by Kiermaier et. al. and Schnabl. This oscillatory solution has been argued to be related by a field redefinition to the simple exponential rolling tachyon deformation of
Coletti E +22 more
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Oscillations of advanced difference equations with variable arguments
Consider the first-order advanced difference equation of the form \begin{equation*} \nabla x(n)-p(n)x(\mu (n))=0\text{, }\ n\geq 1\, [\Delta x(n)-p(n)x(\nu (n))=0, n\geq 0], \end{equation*} where $\nabla $ denotes the backward difference operator ...
George Chatzarakis, Ioannis Stavroulakis
doaj +1 more source
Spectrally accurate space-time solution of Hamiltonian PDEs
Recently, the numerical solution of multi-frequency, highly-oscillatory Hamiltonian problems has been attacked by using Hamiltonian Boundary Value Methods (HBVMs) as spectral methods in time.
Brugnano, Luigi +3 more
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Desynchronization of Large Scale Delayed Neural Networks [PDF]
We consider a ring of identical neurons with delayed nearest neighborhood inhibitory interaction. Under general conditions, such a network has a slowly oscillatory synchronous periodic solution which is completely characterized by a scalar delay di ...
Chen, Yuming +2 more
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Application of the averaging method to the gyrokinetic plasma [PDF]
we show that the solution to an oscillatory-singularly perturbed ordinary differential equation may be asymptotically expanded into a sum of oscillating terms.
Frenod, Emmanuel
core +5 more sources

