Transition to robust chaotic mode as a~result of single bifurcation in the new model of population dynamic
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2010), pp. 117-126
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Article considers arising of chaotic attractor for notunimodal one-dimensional map, which is a model of pupulation dynamics. Chaotic mode, which is not transient behavior spring up without cascade of bifurcation. Change in behaviour of the map appears as a consequence of backward tangent bifurcation. In the biological view effect is interpreted by sudden inclusion of mortality rate for generation on appointed stage. The new model describes the wave-like dependency of the stock and recruitment existed for real fish population.
Keywords:
nonlinear models of population dynamics
Mots-clés : route to chaos.
Mots-clés : route to chaos.
@article{VUU_2010_2_a10,
author = {A. Yu. Perevarukha},
title = {Transition to robust chaotic mode as a~result of single bifurcation in the new model of population dynamic},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {117--126},
publisher = {mathdoc},
number = {2},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2010_2_a10/}
}
TY - JOUR AU - A. Yu. Perevarukha TI - Transition to robust chaotic mode as a~result of single bifurcation in the new model of population dynamic JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki PY - 2010 SP - 117 EP - 126 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VUU_2010_2_a10/ LA - ru ID - VUU_2010_2_a10 ER -
%0 Journal Article %A A. Yu. Perevarukha %T Transition to robust chaotic mode as a~result of single bifurcation in the new model of population dynamic %J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki %D 2010 %P 117-126 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VUU_2010_2_a10/ %G ru %F VUU_2010_2_a10
A. Yu. Perevarukha. Transition to robust chaotic mode as a~result of single bifurcation in the new model of population dynamic. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2010), pp. 117-126. http://geodesic.mathdoc.fr/item/VUU_2010_2_a10/