Stronger-than-Lyapunov notions of matrix stability, or how ``flowers'' help solve problems in mathematical ecology
type: Item
instance of: scholarly article
title: Stronger-than-Lyapunov notions of matrix stability, or how ``flowers'' help solve problems in mathematical ecology
zbMATH Open document ID: 1062.92072
author: Dmitrii O. Logofet
published in: Linear Algebra and its Applications
publication date: 2005-05-04T00:00:00Z
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 15A99
zbMATH DE Number: 2165374
zbMATH Keywords: community matrix
zbMATH Keywords: Lotka-Volterra equations
zbMATH Keywords: D-stable matrices
zbMATH Keywords: aD-stable
zbMATH Keywords: DaD-stable
zbMATH Keywords: totally stable
zbMATH Keywords: Volterra dissipative
zbMATH Keywords: diagonal quasi-dominant
zbMATH Keywords: recessive
zbMATH Keywords: quasi-recessive
zbMATH Keywords: sign stable
zbMATH Keywords: characterisation
zbMATH Keywords: containment relation
zbMATH Keywords: diagram
zbMATH Keywords: structurally open set
MaRDI profile type: Publication
full work available at URL: j.laa.2003.04.001
OpenAlex ID: W1999976206
cites work: A Note on Dynamic Stability
cites work: Q5594821
cites work: Positive diagonal solutions to the Lyapunov equations
cites work: Characterization of acyclic D-stable matrices
cites work: Q4937699
cites work: Real, 3 x 3, D-stable matrices
cites work: Inside the D-stable matrices
cites work: The community matrix in three species community models
cites work: Three types of matrix stability
cites work: Stability and D-stability
cites work: Stability and inertia
cites work: Q3725909
cites work: Q5340130
cites work: Q3261425
cites work: Q5515142
cites work: Concerning the interior of the D-stable matrices
cites work: Recent directions in matrix stability
cites work: Q3992992
cites work: Q3998992
cites work: Q4040931
cites work: When is a Matrix Sign Stable?
cites work: Qualitative stability of linear systems
cites work: Second, third, and fourth order D-stability
cites work: D-stability and real and complex quadratic forms
cites work: Stability ofm-matrix products
cites work: \(D\)-stability of 4-by-4 matrices
cites work: A characterization of Lyapunov diagonal stability using Hadamard products
cites work: Q3755584
cites work: Q3831136
cites work: Q4099452
cites work: Structurally open subsets of stable matrices
cites work: Svicobians of compartment models and the \(DaD\)-stability of Svicobians
cites work: Paths and cycles as tools for the characterization of some classes of matrices
cites work: Q4748292
cites work: Q5331504
cites work: Matrices, Digraphs, and Determinants
cites work: Stability of Multiple Markets: The Hicks Conditions
cites work: Matrices with positive principal minors
cites work: Q3997710
cites work: Polynomial optimization problems
cites work: Estimation of the error in convex polynomial optimization problems
cites work: Q5558820
cites work: Community assembly and food web stability
cites work: Q3674438
cites work: Volterra Multipliers II
cites work: Q5787677
cites work: Q4149273
cites work: A new decision method for elementary algebra
cites work: When is a complex ecosystem stable
cites work: Q4883783
cites work: Global stability of ecosystems of the generalized Volterra type
cites work: Q5807665

Stronger-than-Lyapunov notions of matrix stability, or how ``flowers'' help solve problems in mathematical ecology (cites work)
cites work: Q5604161

Stronger-than-Lyapunov notions of matrix stability, or how ``flowers'' help solve problems in mathematical ecology (cites work)
cites work: A geometric study of the D-stability problem

Stronger-than-Lyapunov notions of matrix stability, or how ``flowers'' help solve problems in mathematical ecology (cites work)
cites work: The chemical basis of morphogenesis

Stronger-than-Lyapunov notions of matrix stability, or how ``flowers'' help solve problems in mathematical ecology (cites work)
cites work: Q4168435

Stronger-than-Lyapunov notions of matrix stability, or how ``flowers'' help solve problems in mathematical ecology (cites work)
cites work: Modelling of ecological systems by using a given ``storage-flow'' diagram

Stronger-than-Lyapunov notions of matrix stability, or how ``flowers'' help solve problems in mathematical ecology (DOI)
DOI: 10.1016/J.LAA.2003.04.001