On the correlation between properties of one-dimensional mappings of control functions and chaos in a special type delay differential equation

V. A. Likhoshvai, V. V. Kogaic, S. I. Fadeevc, T. M. Khlebodarova

Результат исследования: Научные публикации в периодических изданияхстатья

1 Цитирования (Scopus)

Аннотация

A differential equation of a special form, which contains two control functions ff and gg and one delayed argument, is analyzed. This equation has a wide application in biology for the description of dynamic processes in population, physiological, metabolic, molecular-genetic, and other applications. Specific numerical examples show the correlation between the properties of the one-dimensional mapping, which is generated by the ratio f/gf/g, and the presence of chaotic dynamics for such equation. An empirical criterion is formulated that allows one to predict the presence of a chaotic potential for a given equation by the properties of the one-dimensional mapping f/gf/g.

Язык оригиналаанглийский
Страницы (с-по)385-397
Число страниц13
ЖурналMathematical Biology and Bioinformatics
Том12
Номер выпуска2
DOI
СостояниеОпубликовано - 1 янв 2017

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