arXiv subjects

Yu. V. Sedova

Publications and source records attributed to Yu. V. Sedova.

3 recordsLinked to original sources

arXiv2017

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

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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arXiv2016

The simplest map with three-frequency quasi-periodicity and quasi-periodic bifurcations

We propose a new three-dimensional map that demonstrates the two- and three-frequency quasi-periodicity. For this map all basic quasi-periodic bifurcations are possible. The study was realized by using method of Lyapunov charts completed by plots of Lyapunov exponents, phase portraits and bifurcation trees illustrating the quasi-periodic bifurcations. The features of the three-parameter structure associated with quasi-periodic Hopf bifurcation are discussed. The comparison with non-autonomous model is carried out.

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arXiv2015

Synchronization of forced reactively coupled van der Pol oscilators

Synchronization of forced reactively coupled van der Pol oscillators is investigated in the phase approximation. We discuss essential features of the reactive coupling. Bifurcation mechanisms for the destruction of complete synchronization and possible quasi-periodic regimes of different types are revealed. Regimes when autonomous oscillators demonstrate frequency locking and beating regimes with incommensurate frequencies are considered and compared.

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