Strange attractors can be observed in chaotic and hyperchaotic systems. Most of the
dynamical systems hold a finite number of attractors, while some chaotic systems can be …

The dynamical behaviors of nonlinear systems are much dependent on the parameter
setting and nonlinear terms, and some controllable parameters can be adjusted to modulate …

Currently, research of quadrotor unmanned aerial vehicles (QUAV) focuses on the design of
the controller and optimization of the control algorithm. Dynamical analysis of the attitude …

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 …

Based on a class of chaotic system composed of hidden attractors, in which the equilibrium
points are described by a circular function, complete synchronization between two identical …

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 …

In this paper, a new chaotic dynamic system without equilibriums is presented. A conducted
research of the qualitative properties of the discovered system reveals a noncompliance …

This paper investigates the occurrence of extreme events (EEs) in a Sprott‐like autonomous
third‐order nonlinear system exhibiting non‐hyperbolic nature. The presence of non …

The novel sufficient conditions for the existence of chaotic dynamics in n-dimensional
autonomous polynomial dynamical systems are found. These conditions allowed to extend …

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 …