𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lyapunov Functionals and Stability for FitzHugh–Nagumo Systems

✍ Scribed by Pedro Freitas; Carlos Rocha


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
289 KB
Volume
169
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Local Stability and Lyapunov Functionals
✍ Benito Hernández-Bermejo; Vı́ctor Fairén 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 105 KB

We present a method for determining the local stability of equilibrium points of conservative generalizations of the Lotka᎐Volterra equations. These generalizations incorporate both an arbitrary number of speciesᎏincluding odd-dimensional systemsᎏand nonlinearities of arbitrarily high order in the i

Lyapunov Functions for Infinite-Dimensio
✍ Maciej Kocan; Pierpaolo Soravia 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 203 KB

We study Lyapunov functions for infinite-dimensional dynamical systems governed by general maximal monotone operators. We obtain a characterization of Lyapunov pairs by means of the associated Hamilton-Jacobi partial differential equations, whose solutions are meant in the viscosity sense, as evolve

Lyapunov functions for diagonally domina
✍ J.C. Willems 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 488 KB

Smmmary--This paper deals with the construction of Lyapunov functions for the finite dimensional linear system = Ax when the entries of the generating matrix A satisfy various conditions requiring dominance of its diagonal elements and nonnagativity of its off-dingoual elements. The particular case

Stability of Retarded Dynamical Systems:
✍ Bugong Xu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 189 KB

Four new stability theorems for general classes of retarded dynamical systems are established by using the Lyapunov function approach in this paper. A new technique is proposed for estimating the derivative of the Lyapunov function along the solution of a system at some specific instant. It is remar