Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Stankevich, Nataliya"'
This paper examines the reconstruction of a family of dynamical systems with neuromorphic behavior using a single scalar time series. A model of a physiological neuron based on the Hodgkin-Huxley formalism is considered. Single time series of one of
Externí odkaz:
http://arxiv.org/abs/2411.07055
Publikováno v:
Известия высших учебных заведений: Прикладная нелинейная динамика, Vol 32, Iss 1, Pp 72-95 (2024)
The purpose of this study — to represent a detailed description of the procedure for creating and training a neural network mapping on the example of the dynamics modeling of a neural oscillator of the Hodgkin–Huxley type; to show that the neural
Externí odkaz:
https://doaj.org/article/eff2695ea30b48db9d4fd02007593662
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 model has unstable fixed point and the oscillating attractor that demonstr
Externí odkaz:
http://arxiv.org/abs/2203.14138
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 problem is the classification of chaotic regimes, and their labelling.
Externí odkaz:
http://arxiv.org/abs/2108.10318
Autor:
Stankevich, Nataliya
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 networks. The first type model demonstrates bursting oscillations. Th
Externí odkaz:
http://arxiv.org/abs/2106.01306
Publikováno v:
Russian Journal of Nonlinear Dynamics, 2021, vol. 17, no. 1, pp. 5-21
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 modeled system. We assume that ODEs are known and prepare training da
Externí odkaz:
http://arxiv.org/abs/2104.05402
Autor:
Krylosova, Darina Andreevna, Kuznetsov, Aleksandr Petrovich, Sedova, Yu. V., Stankevich, Nataliya Vladimirovna
Publikováno v:
Известия высших учебных заведений: Прикладная нелинейная динамика, Vol 31, Iss 5, Pp 549-565 (2023)
The purpose of this work is to study self-oscillatory systems under adaptive external action. This refers to the situation when the phase of the external action additionally depends on the dynamical variable of the oscillator. In a review plan, the r
Externí odkaz:
https://doaj.org/article/1228ffa50ecd4dc38a75bcf74fad7d06
We study bifurcation mechanisms for the appearance of hyperchaotic attractors in three-dimensional diffeomorphisms, i.e., such attractors whose orbits have two positive Lyapunov exponents in numerical experiments. In order to possess this property pe
Externí odkaz:
http://arxiv.org/abs/2012.05099
Autor:
Stankevich, Nataliya, Volkov, Evgeny
Publikováno v:
In Physica D: Nonlinear Phenomena December 2023 455
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 frequency of the external force leads to the appearance of complex chaotic
Externí odkaz:
http://arxiv.org/abs/1912.00169