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Transformation of synchronization picture with a change of an external pulse action direction in three-dimensional Roessler system
P. Yu. Panteleeva, N. V. Stankevich
We consider the non-autonomous three-dimensional Roessler system under the external pulse action. In this work we describe changing of synchronization picture depending on the dire…
Dynamics of Non-Autonomous Oscillator with a Controlled Phase and Frequency of External Forcing
Darina Krylosova, Evgeny Seleznev, Nataliya Stankevich
The dynamics of a non-autonomous oscillator in which the phase and frequency of the external force depend on the dynamical variable is studied. Such a control of the phase and freq…
A rare and hidden attractor with noise in a biophysical Hodgkin-Huxley-type of model
Nataliya Stankevich
In the present paper the result of numerical simulations of the model based on the Hodgkin-Huxley formalism with bistability between hidden and rare attractors in the presence of n…
Localization of hidden Chua attractors by the describing function method
N. V. Kuznetsov, O. A. Kuznetsova, G. A. Leonov +2
In this paper the Chua circuit with five linear elements and saturation non-linearity is studied. Numerical localization of self-excited attractor in the Chua circuit model can be…
Equilibrium states and hidden attractors in Chua circuit
Nataliya Stankevich
The dynamics of the Chua circuit is studied. Analysis of equilibrium states was revealed. Parameter plane of the picewise linear voltage-current was obtained. For this system was s…
Synchronization of coupled generators of quasiperiodic oscillations
Nataliya Stankevich, Alexander Kuznetsov
The dynamics of two coupled generators of quasiperiodic oscillations is studied. The opportunity of complete and phase synchronization of generators in the regime of quasiperiodic…