scholarly journals Two effective computational schemes for a prototype of an excitable system

AIP Advances ◽  
2020 ◽  
Vol 10 (10) ◽  
pp. 105120 ◽  
Author(s):  
Mostafa M. A. Khater ◽  
Choonkil Park ◽  
Dianchen Lu
Keyword(s):  
Excitable System ◽  
Computational Schemes

scholarly journals Evolutionary Optimization of Case-Based Forecasting Algorithms in Chaotic Environments

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 301
Author(s):  
Alexander Musaev ◽  
Ekaterina Borovinskaya
Keyword(s):  
Chaotic Dynamics ◽  
Evolutionary Optimization ◽  
Modeling Method ◽  
Dynamic Adaptation ◽  
Evolutionary Modeling ◽  
Computational Schemes ◽  
Prediction Algorithms ◽  
Prediction Scheme ◽  
Case Based

The problem of dynamic adaptation of prediction algorithms in chaotic environments based on identification of the situations-analogs in the database of retrospective observations is considered. Under conditions of symmetrical and unsymmetrical chaotic dynamics, traditional computational schemes of precedent prediction turn out to be ineffective. In this regard, a dynamic adaptation of precedent analysis algorithms based on the method of evolutionary modeling is proposed. Implementation of the computational precedent prediction scheme for chaotic processes as well as the evolutionary modeling method are described.

QUANTUM COMPUTATIONAL SCHEMES GENERATED BY k-BOSON ALGEBRAS

2007 ◽  
Vol 05 (01n02) ◽  
pp. 229-234
Author(s):  
FRANCESCO A. RAFFA ◽  
MARIO RASETTI
Keyword(s):  
Cnot Gate ◽  
Logical Operators ◽  
Computational Schemes ◽  
Computational Basis

It is shown that a multiboson (k-boson) algebra can be conveniently utilized to generate a k-dimensional computational basis. The single qukit logical operators are given ∀k and two different constructions of the CNOT gate are presented.

Diverse bistable dark novel explicit wave solutions of cubic–quintic nonlinear Helmholtz model

2021 ◽  
pp. 2150441
Author(s):  
Mostafa M. A. Khater
Keyword(s):  
Solitary Wave ◽  
Schrödinger Equation ◽  
General Model ◽  
Schrodinger Equation ◽  
Three Dimensional ◽  
Solitary Wave Solutions ◽  
Computational Schemes ◽  
Nonlinear Schrödinger ◽  
Wave Solutions

This paper examines three different recent computational schemes (extended simplest equation (ESE) method, modified Kudryashov (MKud) method, and modified Khater (MKha) method) for obtaining novel solitary wave solutions of cubic–quintic nonlinear Helmholtz (CQ–NLH) model. This model is considered as a general model of the well-known Schrödinger equation where it takes into account the effects of backward scattering that are neglected in the more common nonlinear Schrödinger model. Many distinct wave solutions are explained in the different formulas, such as trigonometric, rational, and hyperbolic formulas. These solutions are described in some precise sketches in two- and three-dimensional. The methods’ performance is explained to demonstrate their effectiveness and power.

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