Creation of locally disconnected basin boundary of attractors in population dynamics model
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2012), pp. 59-69
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Nonlinear dynamic system used for simulation of fish population with application of computing tools is analyzed. Such phenomena as rout to chaos by way of period doubling cascade, intermittency, subduction, interior crisis of strange attractor are considered. New stock-recruitment models are developed which have ability to move one of two existing attractors. Basin boundaries of a hybrid-time model becomes fractal-like which is reduced to chaotic transient behavior.
Keywords:
basin boundaries of attractors, modeling of population dynamics.
@article{VSPUI_2012_3_a5,
author = {A. Yu. Perevarukha},
title = {Creation of locally disconnected basin boundary of attractors in population dynamics model},
journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
pages = {59--69},
publisher = {mathdoc},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSPUI_2012_3_a5/}
}
TY - JOUR AU - A. Yu. Perevarukha TI - Creation of locally disconnected basin boundary of attractors in population dynamics model JO - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ PY - 2012 SP - 59 EP - 69 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSPUI_2012_3_a5/ LA - ru ID - VSPUI_2012_3_a5 ER -
%0 Journal Article %A A. Yu. Perevarukha %T Creation of locally disconnected basin boundary of attractors in population dynamics model %J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ %D 2012 %P 59-69 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSPUI_2012_3_a5/ %G ru %F VSPUI_2012_3_a5
A. Yu. Perevarukha. Creation of locally disconnected basin boundary of attractors in population dynamics model. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2012), pp. 59-69. http://geodesic.mathdoc.fr/item/VSPUI_2012_3_a5/