A perturbation technique for computing normal forms is presented. This technique, associated with the method of multiple scales, can be used to systematically find a unique form for a given set of differential equations. The technique is discussed in detail through the analysis of Hopf bifurcation....
The normal distribution is a continuous probability distribution that plays a central role in probability theory and statistics. It is often called Gaussian distribution, in honor of Carl Friedrich Gauss (1777-1855), an eminent German mathematician who gave important contributions towards a better under...
This allows to show the existence of regions of effective stability near L 5 for values of μ larger than the Routh critical value. The computations have been done using formal expansions with numerical coefficients.关键词: algebraic manipulators effective stability invariant tori normal forms ...
Hähnle, R.: Short conjunctive normal forms in finitely-valued logics, J. Logic and Computation 4(6) (1994), 905–927. 12. Hähnle, R.: Tabl... JJ Lu,NV Murray,E Rosenthal - 《Journal of Automated Reasoning》 被引量: 66发表: 1998年 On finitely-valued Fuzzy Description Logics ...
Normal forms Smooth conjugation and equivalence Quasi-homogeneous expansions 1. Introduction The normal form theory lies in the basis of the study of several problems in differential equations: bifurcation, stability analysis, etc. The idea underlying in this theory is the use of near-identity transfo...
in(1.1).(Werestrictustolinearrela- tions.)Thustheproblemarisestodetectsuchrelationsinsums(1.1),generated bysymboliccalculations, and to reduce (1.1) to linear combinations of linearly independent T (i) (normal forms). It is well-known that the representation theory of symmetric groups S r yields...
Resolution based theorem proving systems require the conversion of predicate logic formulae into clausal normal form. The multiplication from disjunctive into conjunctive forms in general produces a lot of tautologous and subsumed clauses, which is relatively hard to recognize in later stages of the ...
Normal forms for nonlinear vector fields. I. Theory and algorithm Normal forms are analytical tools for studying the qualitative behavior of the nonlinear vector fields. A tutorial for the nonspecialist in general, and th... LO Chua,H Kokubu - 《IEEE Transactions on Circuits & Systems》 被引...
In Section 3, we have defined different semantic types of normal forms. The most natural, although usually not the most useful one, is the type of strongly correct normal form reductions. Perhaps the best known normal forms are the conjunctive normal form (CNF) and the disjunctive normal form...
This paper addresses the computation of equivariant normal forms for some Neutral Functional Differential Equations (NFDEs) near equilibria in the presence of symmetry. The analysis is based on the theory previously developed for autonomous retarded Functional Differential Equations (FDEs) and on the ...