scholarly journals Directed percolation and numerical stability of simulations of digital memcomputing machines

2021 ◽  
Vol 31 (6) ◽  
pp. 063127
Author(s):  
Yuan-Hang Zhang ◽  
Massimiliano Di Ventra
Keyword(s):  
Numerical Stability ◽  
Directed Percolation

Numerical Stability of GFEM Evaluation for Free Vibration Analysis in Trussed Structures

2017 ◽  
Author(s):  
Thamara Petroli ◽  
Marcos Arndt ◽  
Paulo de Oliveira Weinhardt ◽  
ROBERTO Dalledone Machado
Keyword(s):  
Free Vibration ◽  
Numerical Stability ◽  
Vibration Analysis ◽  
Free Vibration Analysis

scholarly journals Crossover from Isotropic to Directed Percolation

1997 ◽  
Vol 78 (10) ◽  
pp. 1850-1853 ◽  
Author(s):  
Per Fröjdh ◽  
Marcel den Nijs
Keyword(s):  
Directed Percolation

scholarly journals Quiescent Gap Solitons in Coupled Nonuniform Bragg Gratings with Cubic-Quintic Nonlinearity

2021 ◽  
Vol 11 (11) ◽  
pp. 4833
Author(s):  
Afroja Akter ◽  
Md. Jahedul Islam ◽  
Javid Atai
Keyword(s):  
Numerical Stability ◽  
Bragg Gratings ◽  
Stability Boundaries ◽  
Quintic Nonlinearity ◽  
Numerical Stability Analysis ◽  
Gap Solitons ◽  
The Stability ◽  
Dual Core

We study the stability characteristics of zero-velocity gap solitons in dual-core Bragg gratings with cubic-quintic nonlinearity and dispersive reflectivity. The model supports two disjointed families of gap solitons (Type 1 and Type 2). Additionally, asymmetric and symmetric solitons exist in both Type 1 and Type 2 families. A comprehensive numerical stability analysis is performed to analyze the stability of solitons. It is found that dispersive reflectivity improves the stability of both types of solitons. Nontrivial stability boundaries have been identified within the bandgap for each family of solitons. The effects and interplay of dispersive reflectivity and the coupling coefficient on the stability regions are also analyzed.

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