UDC 512.61

Cycle birth bifurcation in shore ecogeosystems

/ I.T. Selezov, Iu. G. Kryvonos, V.M. Moskovkin // Kibernetika i sistemnyi analiz. — 2016. — Vol. 52, N 4. — P. 55–64.

The qualitative analysis of abrasion of a coast as an ecological system on the basis of the simplified model described by system of ordinary nonlinear differential equations is presented. The applied semi-empirical model is based on reviewing of average magnitudes and can be considered as some approximation of the initial model of hydrodynamics. Unlike the well-known approaches, this model considers essentially nonlinear effects and control (beach feedback). The analysis is carried out by methods of stability theory. Performances of the limiting cycle are obtained and its stability is analyzed. Figs: 0. Tabl.: 0. Refs: 22 titles.

Keywords:

bifurcation of cycle birth, ecogeosystem, stability, catastrophe theory.


FULL TEXT

Author(s):

Селезов Игорь Тимофеевич, доктор физ.-мат. наук, профессор, заведующий отделом Института гидромеханики НАН Украины, Киев,
e-mail: selezov@ya.ru

Кривонос Юрий Георгиевич, академик НАН Украины, профессор, заместитель директора Института кибернетикиим. В.М. Глушкова НАН Украины, Киев,
e-mail: aik@public.icyb.kiev.ua

Московкин Владимир Михайлович, доктор геогр. наук, профессор Харьковского национального университета имени В.Н. Каразина,
e-mail: moskovkin@bsu.edu.ru