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Abstract <p> We study the structure of the phase portrait of a three-dimensional dynamical systemsimulating functioning of a simple molecular repressilator. We prove that there exists a uniqueasymptotically stable equilibrium point and find conditions for existence and stability of a closedtrajectory located outside the domain of attraction of this point.</p>

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Stability of Nonlocal Oscillations in a Piecewise-Linear Dynamical System

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • A. V. Glubokikh

摘要

Abstract

We study the structure of the phase portrait of a three-dimensional dynamical systemsimulating functioning of a simple molecular repressilator. We prove that there exists a uniqueasymptotically stable equilibrium point and find conditions for existence and stability of a closedtrajectory located outside the domain of attraction of this point.