scholarly journals Spectral sequences and parametric normal forms

2012 ◽  
Vol 252 (2) ◽  
pp. 1003-1031 ◽  
Author(s):  
Majid Gazor ◽  
Pei Yu
Keyword(s):  
Normal Forms ◽  
Spectral Sequences ◽  
Parametric Normal Forms

Spectral sequences for the reduction to normal forms

1985 ◽  
pp. 231-241
Author(s):  
V. I. Arnold ◽  
S. M. Gusein-Zade ◽  
A. N. Varchenko
Keyword(s):  
Normal Forms ◽  
Spectral Sequences

FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS

2010 ◽  
Vol 20 (11) ◽  
pp. 3487-3515 ◽  
Author(s):  
MAJID GAZOR ◽  
PEI YU
Keyword(s):  
Dynamical Systems ◽  
Normal Form ◽  
Decomposition Method ◽  
Normal Forms ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical ◽  
Multiple Parameters ◽  
Formal Basis ◽  
Parametric Normal Forms ◽  
Parametric Systems

We introduce a formal decomposition method for efficiently computing the parametric normal form of nonlinear dynamical systems with multiple parameters. Recently introduced notions of formal basis style and costyle are applied through formal decomposition method to obtain the simplest parametric normal form for degenerate nonlinear parametric center. The necessary formulas are derived and implemented using Maple to compute the simplest parametric normal form of degenerate and nondegenerate nonlinear centers. Our program computes the order of any planar parametric systems associated with this singularity.

Spectral sequences for the reduction to normal forms

2012 ◽  
pp. 231-241
Author(s):  
V. I. Arnold ◽  
S. M. Gusein-Zade ◽  
A. N. Varchenko
Keyword(s):  
Normal Forms ◽  
Spectral Sequences

METHODS OF REDUCING OF LARGE BOOLEAN FORMULAS REPRESENTED IN A CONJUNCTIVE NORMAL FORM FOR DETERMINING THEIR SATISFIABILITY

2020 ◽  
Author(s):  
N.I. Gdansky ◽  
◽  
A.A. Denisov ◽  
Keyword(s):  
Normal Form ◽  
Normal Forms ◽  
Conjunctive Normal Form ◽  
Boolean Formulas

The article explores the satisfiability of conjunctive normal forms used in modeling systems.The problems of CNF preprocessing are considered.The analysis of particular methods for reducing this formulas, which have polynomial input complexity is given.

Regularization of Integral Operators in Singularly Perturbed Problems Using Normal Forms

Vestnik MEI ◽  
2019 ◽  
Vol 6 ◽  
pp. 131-137
Author(s):  
Abdukhafiz A. Bobodzhanova ◽  
◽  
Valeriy F. Safonov ◽  
Keyword(s):  
Normal Forms ◽  
Integral Operators ◽  
Singularly Perturbed ◽  
Singularly Perturbed Problems
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