On Nonlocal Oscillations in 3D Models of Circular Gene Networks

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2024-08-15 DOI:10.1134/S1990478924020078

A. V. Glubokikh, V. P. Golubyatnikov

引用次数: 0

Abstract

We construct three-dimensional dynamical systems with block-linear discontinuous right-hand side that simulate the simplest molecular oscillators. The phase portrait of each of these systems contains a unique equilibrium point and a cycle lying in the complement of the basin of attraction of this point. There are no other equilibrium points in these phase portraits.

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论环状基因网络三维模型中的非局部振荡

摘要我们构建了具有块线性不连续右边的三维动力系统，模拟了最简单的分子振荡器。其中每个系统的相位图都包含一个唯一的平衡点和一个位于该点吸引力盆地补集上的周期。这些相位图中没有其他平衡点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.