89 citations · 148 across the 12 of their papers we have counts for
12 papers
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…
Discovering dynamical features of Hodgkin-Huxley-type model of physiological neuron using artificial neural network
Pavel V. Kuptsov, Nataliya V. Stankevich, Elmira R. Bagautdinova
We consider Hodgkin-Huxley-type model that is a stiff ODE system with two fast and one slow variables. For the parameter ranges under consideration the original version of the mode…
Dynamical Taxonomy: some taxonomic ranks to systematically classify every chaotic attractor
Christophe Letellier, Nataliya Stankevich, Otto E. Rössler
Characterizing accurately chaotic behaviors is not a trivial problem and must allow to determine the properties that two given chaotic invariant sets share or not. The underlying p…
Stabilization of steady state in Multiplex heterogeneous networks of neuron-like models with bistability between silent state and bursting attractor
Nataliya Stankevich
The dynamics of a multiplex heterogeneous network of oscillators is studied. Two types of similar models based on the Hodgkin-Huxley formalism are used as the basic elements of the…
Artificial neural network as a universal model of nonlinear dynamical systems
Pavel V. Kuptsov, Anna V. Kuptsova, Nataliya V. Stankevich
We suggest a universal map capable to recover a behavior of a wide range of dynamical systems given by ODEs. The map is built as an artificial neural network whose weights encode a…
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…