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 …

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 …

Using a systematic computer search, nine simple chaotic flows with quadratic nonlinearities
were found that have the unusual feature of having a line equilibrium. Such systems belong …

The hidden oscillations (a basin of attraction of which does not contain neighborhoods of
equilibria) have been obtained first in the 50–60s of the 20th century in automatic control …

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 …

From a computational point of view, in nonlinear dynamical systems, attractors can be
regarded as self-excited and hidden attractors. Self-excited attractors can be localized …

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 …

Using the Routh–Hurwitz stability criterion and a systematic computer search, 23 simple
chaotic flows with quadratic nonlinearities were found that have the unusual feature of …