In this paper, we discuss self-excited and hidden attractors for systems of differential
equations. We considered the example of a Lorenz-like system derived from the well-known …

Equilibria are a class of attractors that host inherent stability in a dynamic system. Infinite
number of equilibria and chaos sometimes coexist in a system with some connections …

The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua's
system with a special Chua's diode. But designing such physical Chua's circuit is a …

After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …

Nowadays, COVID-19 has put a significant responsibility on all of us around the world from
its detection to its remediation. The globe suffer from lockdown due to COVID-19 pandemic …

The development of the theory of absolute stability, the theory of bifurcations, the theory of
chaos, theory of robust control, and new computing technologies has made it possible to …

On the example of the famous Lorenz system, the difficulties and opportunities of reliable
numerical analysis of chaotic dynamical systems are discussed in this article. For the Lorenz …

In this paper, the Benettin–Wolf algorithm to determine all Lyapunov exponents for a class of
fractional-order systems modeled by Caputo's derivative and the corresponding Matlab code …

The dynamical system without equilibrium point is considered having hidden dynamics. It is
relatively difficult to locate the attractor in the state space as its attraction basin has nothing …

Compared to dissipative chaotic system, conservative chaotic systems have some attractive
features valuable for engineering applications, such as security communication. This paper …