89 citations · 148 across the 12 of their papers we have counts for
3 papers · 1 filter
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…