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arXiv · 1712.06011

The influence of noise on two- and three-frequency quasi-periodicity in a simple model system

A. P. Kuznetsov·S. P. Kuznetsov·Yu. V. Sedova
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Abstract

We discuss the effect of noise on a system with a quasi-periodicity of different dimensions. As the basic model of our research we use the simplest three-dimensional map with two-frequency and three-frequency quasi-periodicity. Modification of the dynamical regimes at the influence of noise is considered with the help of Lyapunov chart method. The transformation of Lyapunov exponents plots characteristic for the quasi-periodic Hopf bifurcation of 3-torus birth at the presence of noise is examined.

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A. P. Kuznetsov, S. P. Kuznetsov, Yu. V. Sedova. 2017-12-16. The influence of noise on two- and three-frequency quasi-periodicity in a simple model system. https://arxiv.org/abs/1712.06011

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