Let 𝔸⊂ ℝ n be a chaotic attractor generated by a quadratic system of ordinary differential
equations ẋ= f (x). A method for constructing new chaotic attractors based on the attractor 𝔸 …

The main goal of this work is to construct an algorithm for modeling chaotic processes using
special neural ODEs with antisymmetric matrices (antisymmetric neural ODEs) and power …

Chaos is a rather unique phenomenon caused by nonlinear effects, with characteristics such
as sensitivity to initial values, no periodicity, long-term unpredictability, fractal nature, and …

A method for constructing a one-dimensional discrete mapping describing a certain periodic
process in a general system of ordinary autonomous differential equations is proposed. The …

When determining a system technical condition, it is possible to use multiple approaches.
For practical reasons it is convenient to use an indirect diagnostic signal. In our article we …

A new method for studying the problem of emergence of chaos in dynamical systems, the
right-hand sides of which are continuously differentiable functions, is proposed. The …

A new autonomous 4D nonlinear model with two nonlinearities describing the dynamics of
change of voltage and current in the contact railway electric network is offered. This model is …

The well-known Shil'nikov type theory provides an approach to proving the existence of
chaotic invariant sets for some classes of smooth dynamical systems with homoclinic orbits …

System technical condition is a very important information source. When in operation, it is
not always possible to find out about the system condition directly. However, indirect …

The main objective of this work is to construct an algorithm for modeling chaotic attractors
using special neural ODEs with antisymmetric matrices (antisymmetric neural ODEs) and …