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Article information
2010 , Volume 15, ¹ 2, p.87-102
Perevaryukha A.Y.
Research on aperiodic behavior in a new hybrid model of population dynamics
Article discusses phenomenon of transition from a stable equilibrium to the chaotic motion in a nonlinear dynamic system in the case when there is no cascade of bifurcations occurring due to variation of parameters. New discrete-continuous mathematical model of the ``stock-recruitment'' type is based on the influence of step-wise changes in early onto genesis of anadromous of the fish species according to the theory of organisms development. A multistable dynamic system having four non trivial equilibrium points is investigated. It is shown that chaotic transience realizes when locally-disconnected basin boundaries of regular attractors are present
[full text]
Keywords: development of hybrid mathematical models, modeling of populations dynamics, types of chaotic behavior
Author(s):
Perevaryukha Andrey Yuryevich
PhD.
Position: Senior Research Scientist
Office: St. Petersburg Federal Research Center of the Russian Academy of Sciences
Address: 197110, Russia, St-Petersburg, 14-line 39
E-mail: temp_elf@mail.ru
SPIN-code: 6070-5310
Bibliography link:
Perevaryukha A.Y. Research on aperiodic behavior in a new hybrid model of population dynamics // Computational technologies. 2010. V. 15. ¹ 2. P. 87-102
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