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 …

Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

A new regime of chaotic flows is explored in which one of the variables has the freedom of
offset boosting. By a single introduced constant, the DC offset of the variable can be boosted …

Multistability exists in various regimes of dynamical systems and in different combinations,
among which there is a special one generated by self-reproduction. In this paper, we …

Recently a new fractional differentiation was introduced to get rid of the singularity in the
Riemann-Liouville and Caputo fractional derivative. The new fractional derivative has then …

Chaotic dynamical systems that are symmetric provide the possibility of multistability as well
as an independent amplitude control parameter. The Rössler system is used as a candidate …

This paper brings a new mathematical model of the third-order autonomous deterministic
dynamical system with associated chaotic motion. Its unique property lies in the existence of …

A Chaotic System With Equilibria Located on the Rounded Square Loop and Its Circuit
Implementation Page 1 878 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II: EXPRESS …

This paper proposes a three-dimensional chaotic autonomous system with only one stable
equilibrium. This system belongs to a newly introduced category of chaotic systems with …

A chaotic oscillator utilizing a flux-controlled memristor to produce a signal that grows in
amplitude and frequency over time is introduced in this paper. It was found that the initial …