Titlebook: Singular Perturbations; Introduction to Syst Elena Shchepakina,Vladimir Sobolev,Michael P. Mort Book 2014 Springer International Publishing

initiate

名字的误用

Representations of Slow Integral Manifolds,and then the slow integral manifold can be found in parametric form as asymptotic expansions. If this is not possible, it is necessary to use an implicit slow surface and obtain asymptotic representations for the slow integral manifold in an implicit form. Model examples, as well as examples borrowed from combustion theory, are treated.

Shuttle

Introduction,introduced and illustrative examples are given. Then a statement of Tikhonov’s theorem is given which answers the question about the permissibility of the application of a “degenerate” system (.) as a zero-approximation to the full system.

depreciate

Inculcate

Canards and Black Swans,n medium models, 3-D autocatalator model, using the techniques of canards and black swans. The existence of canard cascades is stated for the van der Pol model and models of the Lotka-Volterra type. The language of singular perturbations seems to apply to all critical phenomena even in the most disparate chemical systems.

巡回

Reduction Methods for Chemical Systems,ethods in chemical kinetics. In this chapter we will use results given previously in parallel with our interpretation of the connection between the two most often used reduction methods and demonstrate that both methods may be replaced successfully by regular procedures of approximation of slow integral manifolds which were described in Chap. ..

小淡水鱼

Specific Cases,nipulators. The next section is devoted to the application of repulsive slow invariant manifolds to thermal explosion problems. In the last section, the case when the slow integral manifold is conditionally stable is discussed and an optimal control problem is given as an application.

CLOT

Adulterate

飞来飞去真休

The Book of Numbers,t variable. A series of examples, of increasing complexity, are given to illustrate the theoretical concepts. The main examples come from applications in enzyme kinetics. These examples illustrate the effectiveness of the order reduction method.