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 …

We study complex dynamics of the Chialvo model that is the simplest neuron-type model in
form of a four-parameter family of two-dimensional noninvertible maps (endomorphisms) …

This Focus Issue “Global Bifurcations, Chaos, and Hyperchaos: Theory and Applications” is
dedicated to the 85th anniversary of the great mathematician, one of the founding fathers of …

We investigate the dynamics of three identical three-dimensional ring synthetic genetic
oscillators (repressilators) located in different cells and indirectly globally coupled by …

The emergence of collective oscillations and synchronization is a widespread phenomenon
in complex systems. While widely studied in the setting of dynamical systems, this …

A harmonic effect on a modified Anishchenko-Astakhov generator capable of demonstrating
two-frequency quasi-periodic oscillations in the autonomous mode is considered. The …

Рассматривается гармоническое воздействие на модифицированный генератор
Анищенко− Астахова, способный демонстрировать в автономном режиме …

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 …

We study bifurcation mechanisms for the appearance of hyperchaotic attractors in three-
dimensional diffeomorphisms, ie such attractors whose orbits have two positive Lyapunov …

焦点问题“全局分岔, 混沌和超混沌: 理论和应用” 是为了纪念Leonid Pavlovich Shilnikov
这位伟大的数学家诞辰85 周年, 他是动力学混沌理论的创始人之一. 他的作品决定性地影响了非 …