Hidden attractors and nonlocal oscillations in gene networks models

Pub Date : 2024-04-08 DOI:10.1515/rnam-2024-0007
Vladimir P. Golubyatnikov, Natalia B. Ayupova, Natalia E. Bondarenko, Alina V. Glubokikh
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Abstract

We study periodic trajectories of nonlinear dynamical systems considered as models of the simplest molecular repressilator. In the phase portraits of these systems, we find hidden attractors and nonlocal oscillations. The cases of nonuniqueness of cycles in these portraits are described as well.
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基因网络模型中的隐性吸引子和非局部振荡
我们研究了作为最简单分子抑制器模型的非线性动力学系统的周期性轨迹。在这些系统的相位肖像中,我们发现了隐藏的吸引子和非局部振荡。我们还描述了这些肖像中周期非唯一性的情况。
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