No fractals, no chaos, yet hard to predict. Using an easy version of the straddle-orbit procedure introduced by Grebogi and co-workers, we investigate the basins of attraction of a system of ODE in the plane of interest for the biological control of parasites in agriculture.All the phase space, except for a smooth curve separating the basins, consists of points that asymptotically evolve to one of two possible equilibria. The prediction of which final equilibrium will be attained by the system is nevertheless obstructed by the intertwining of the two basins, that indefinitely accumulate on each other in a region bounded by the coordinate axis.
TEDESCHINI LALLI, L. (1995). Smoothly Intertwined Basins of Attraction in a Prey-Predator Model. ACTA APPLICANDAE MATHEMATICAE, 38, 139-147 [10.1007/BF00992843 Edit].
Smoothly Intertwined Basins of Attraction in a Prey-Predator Model
TEDESCHINI LALLI, Laura
1995-01-01
Abstract
No fractals, no chaos, yet hard to predict. Using an easy version of the straddle-orbit procedure introduced by Grebogi and co-workers, we investigate the basins of attraction of a system of ODE in the plane of interest for the biological control of parasites in agriculture.All the phase space, except for a smooth curve separating the basins, consists of points that asymptotically evolve to one of two possible equilibria. The prediction of which final equilibrium will be attained by the system is nevertheless obstructed by the intertwining of the two basins, that indefinitely accumulate on each other in a region bounded by the coordinate axis.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
