✦ LIBER ✦

Local Stability and Lyapunov Functionals for n-Dimensional Quasipolynomial Conservative Systems

✍ Scribed by Benito Hernández-Bermejo; Vı́ctor Fairén

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 105 KB
Volume: 256
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7318

No coin nor oath required. For personal study only.

✦ Synopsis

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 interspecific interaction terms. The method combines a reformulation of the equations in terms of a Poisson structure and the construction of their Lyapunov functionals via the energy-Casimir method. These Lyapunov functionals are a generalization of those traditionally known for Lotka᎐Volterra systems. Examples are given. ᮊ 2001 Aca- demic Press

📜 SIMILAR VOLUMES

Lyapunov Functionals and Stability for F

Lyapunov Functionals and Stability for FitzHugh–Nagumo Systems

✍ Pedro Freitas; Carlos Rocha 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 289 KB

Stability of global and exponential attr

Stability of global and exponential attractors for a three-dimensional conserved phase-field system with memory

✍ Gianluca Mola 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 268 KB

## Abstract We consider a conserved phase‐field system on a tri‐dimensional bounded domain. The heat conduction is characterized by memory effects depending on the past history of the (relative) temperature ϑ, which is represented through a convolution integral whose relaxation kernel __k__ is a su