Some logical problems connected with a modular decomposition theory of automata

1984 ◽  
pp. 365-388 ◽  
Author(s):  
Dieter Rödding
Keyword(s):  
Modular Decomposition ◽  
Decomposition Theory

scholarly journals Algorithmic aspects of a general modular decomposition theory

2009 ◽  
Vol 157 (9) ◽  
pp. 1993-2009 ◽  
Author(s):  
B.-M. Bui-Xuan ◽  
M. Habib ◽  
V. Limouzy ◽  
F. de Montgolfier
Keyword(s):  
Modular Decomposition ◽  
Decomposition Theory

scholarly journals DETERMINING EQUATIONS FOR HIGHER-ORDER DECOMPOSITIONS OF EXPONENTIAL OPERATORS

1995 ◽  
Vol 09 (25) ◽  
pp. 3241-3268 ◽  
Author(s):  
ZENGO TSUBOI ◽  
MASUO SUZUKI
Keyword(s):  
General Scheme ◽  
Higher Order ◽  
Explicit Formulas ◽  
Decomposition Theory ◽  
Lyndon Words

The general decomposition theory of exponential operators is briefly reviewed. A general scheme to construct independent determining equations for the relevant decomposition parameters is proposed using Lyndon words. Explicit formulas of the coefficients are derived.

scholarly journals Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation

2020 ◽  
Vol 10 (1) ◽  
pp. 311-330 ◽  
Author(s):  
Feng Binhua ◽  
Ruipeng Chen ◽  
Jiayin Liu
Keyword(s):  
Blow Up ◽  
Standing Waves ◽  
Radial Solutions ◽  
Choquard Equation ◽  
Decomposition Theory ◽  
Profile Decomposition ◽  
Strong Instability

Abstract In this paper, we study blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation $$\begin{array}{} \displaystyle i\partial_t\psi- (-{\it\Delta})^s \psi+(I_\alpha \ast |\psi|^{p})|\psi|^{p-2}\psi=0. \end{array}$$ By using localized virial estimates, we firstly establish general blow-up criteria for non-radial solutions in both L2-critical and L2-supercritical cases. Then, we show existence of normalized standing waves by using the profile decomposition theory in Hs. Combining these results, we study the strong instability of normalized standing waves. Our obtained results greatly improve earlier results.

Modular Decomposition of Flow Chart Path Method and its Application

2011 ◽  
Vol 418-420 ◽  
pp. 2206-2210
Author(s):  
Meng Qi Li ◽  
Dong Ying Li
Keyword(s):  
Complex System ◽  
Case Analysis ◽  
Flow Chart ◽  
Function Model ◽  
Modular Decomposition ◽  
Dependency Relationship ◽  
Product Function ◽  
Paper Product ◽  
Material Information ◽  
Relationship Of

Modular decomposition is the key to simplify complex system. In this paper product function model is built based on flow chart description of energy, substance/material information. According to dependency relationship of function, function modularization is done respectively with module defining ways of main path method (MPM), branch path method (BPM) and conversion-conduction method (CCM). And modular decomposition of flow chart path method is established, concerned procedures and cautions during the implementing course are defined, and the purpose and effectiveness of modular decomposition of flow chart pass are confirmed through case analysis.

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