Characterizing accurately chaotic behaviors is not a trivial problem and must allow to
determine the properties that two given chaotic invariant sets share or not. The underlying …

A Shilnikov homoclinic attractor of a three-dimensional diffeomorphism contains a saddle-
focus fixed point with a two-dimensional unstable invariant manifold and homoclinic orbits to …

Stabilization by a periodic pulsed force of trajectories running away to infinity in the three-
dimensional Rössler system at a threshold of a saddle-node bifurcation, birth of equilibrium …

The interaction of a system with quasi-periodic autonomous dynamics and a chaotic Rössler
system is studied. We have shown that with the growth of the coupling, regimes of two …

We study chaotic dynamics in a system of four differential equations describing the
interaction of five identical phase oscillators coupled via biharmonic function. We show that …

We consider the rich dynamics and bifurcations exhibited by a three-dimensional quadratic
map. Torus doubling bifurcations are central to bifurcation theory. Such bifurcations can only …

The ordinary (superconductor-insulator-superconductor) Josephson junction cannot exhibit
chaos in the absence of an external ac drive, whereas in the superconductor-ferromagnet …

The universal behaviors of a rational dynamical system associated with the Vannimenus–
Ising model having two coupling constants on a Cayley tree of order three are studied …

Adaptive network models arise when describing processes in a wide range of fields and are
characterized by some specific effects. One of them is mixed dynamics, which is the third …

A non-autonomous model of the Anishchenko–Astakhov generator in the regime of periodic
and chaotic self-oscillations is considered. A periodic sequence of short pulses is …