Abstract
In this paper we investigate the onset of spurious fixed points when Runge–Kutta methods are applied to study the dynamics of differential equations. It is shown computationally that the spurious equilibria of Griffithset al.[14] are connected at infinity with fixed points inherited from the differential equation. We introduce and study the concept of B-regularity which is in connection to the concept of regularity introduced by Iserles.Principium cuius hinc nobis exordia sumet, nullam rem e nilo gigni diuinitus umquam. Nam si de nilo fierent, ex omnibus' rebus omne genus nasci posset, nil semine egeret.De rerum natura, Liber Primus, 149. Lucrecio
Published Version
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