Geometric Singular Perturbation Theory: in Dynamical Sys- tems (Montecatini Terme, 1994). Springer, 1995.C.K.R.T. Jones, Geometric singular perturbation theory, in Lect. Notes. in Math. 1609 (R. Johnson eds.), 1995.C. K. R. T. Jones, "Geometric singular perturbation theory," in Dynam...
By applying the geometric singular perturbation theory, it is proved that steady traveling wave fronts is maintained when the delay is sufficiently small for a type of convolution kernel. 利用几何奇异摄动理论,证明了对一类特定形式的卷积核,只要时滞充分小,该模型的波前解仍然能得以保持。 2. By the...
Geometric singular perturbation theory is a useful tool in the analysis of problems with a clear separation in time scales. It uses invariant manifolds in phase space in order to understand the global structure of the phase space or to construct orbits with desired properties. This paper explains...
Singular perturbations and time-scale methods in control theory: Survey 1976-1983 1984, Automatica Show abstract Social-ecological systems as complex adaptive systems: Modeling and policy implications 2013, Environment and Development Economics Extending geometric singular perturbation theory to nonhyperbolic ...
Forh(x,z,ε)zreplaced byh(x,z,ε)z2, we explain this phenomenon using geometric singular perturbation theory. We also show that the linear case can be reduced to the quadratic case, and we discuss the smoothness of the return map to the linez=z0,z0>0, in the limitε→0.关键词: ...
Geometric singular perturbation theoryDynamic clampThe electrical activity of endocrine pituitary cells is mediated by a plethora of ionic currents and establishing the role of a single channel type is difficult. Experimental observations have shown however that fast-activating voltage- and calcium-...
Geometric Singular Perturbation Theory Geometric Software Reliability Model Geometric Software Solutions Co. Ltd. Geometric solid Geometric solid Geometric spider Geometric square Geometric standard deviation Geometric Standard Error of the Mean Geometric stereoisomer Geometric stereoisomerism Geometric stereoisomers...
Two types of related results contributing to geometric singular perturbation theory are obtained. The first result establishes a new class of invariant manifolds. The second result consists of several exchange lemmas that characterize the evolution of an invariant manifold passing through the vicinity of...
Our main purpose is to show that the fast–slow models, even though in nonstandard form, can be studied by means of Geometric Singular Perturbation Theory (GSPT). In particular, without using Lyapunov’s method, we are able to not only analyse the stability of the endemic equilibria but ...
Geometric Singular Perturbation Theory Geometric Software Reliability Model Geometric Software Solutions Co. Ltd. Geometric solid Geometric solid Geometric spider Geometric square Geometric standard deviation Geometric Standard Error of the Mean Geometric stereoisomer Geometric stereoisomerism Geometric stereoisomers...