BENDIXSON'S CRITERION FOR AUTONOMOUS SYSTEMS WITH AN INVARIANT LINEAR SUBSPACE

BENDIXSON'S CRITERION FOR AUTONOMOUS SYSTEMS WITH AN INVARIANT LINEAR SUBSPACE

A class of nonlinear autonomous systems ordinary differential equations in Rn with an invariant linear subspace which includes as examples a wide range of biological and chemical systems is defined and studied. Among other things, criteria precluding the existence of periodic solutions are obtained...

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Veröffentlicht in:The Rocky Mountain journal of mathematics 1995, Vol.25 (1), p.351-363
1. Verfasser: LI, MICHAEL Y.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Disease models
Epidemiology
Inner products
Linear systems
Mathematical manifolds
Mathematical theorems
Matrices
Rectifiable curves
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Beschreibung
Zusammenfassung:A class of nonlinear autonomous systems ordinary differential equations in Rn with an invariant linear subspace which includes as examples a wide range of biological and chemical systems is defined and studied. Among other things, criteria precluding the existence of periodic solutions are obtained for such systems using a general method developed in [4].
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1181072288