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 …

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 …

Multiple attractors can be found in many nonlinear dynamical system with multistability.
Recently, experimental attractors with two stable saddle-foci were reported to find in a non …

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 …

In this paper a Lorenz-like system, describing convective fluid motion in rotating cavity, is
considered. It is shown numerically that this system, like the classical Lorenz system …

The Rabinovich system, describing the process of interaction between waves in plasma, is
considered. It is shown that the Rabinovich system can exhibit a hidden attractor in the case …

Recently, many rare chaotic systems have been found including chaotic systems with no
equilibria. However, it is surprising that such a system can exhibit multiscroll chaotic sea. In …

By using a simple state feedback controller in a three-dimensional chaotic system, a novel
4D chaotic system is derived in this paper. The system state equations are composed of nine …

The terms hold-in, pull-in (capture), and lock-in ranges are widely used by engineers for the
concepts of frequency deviation ranges within which PLL-based circuits can achieve lock …