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 …

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

We study the hyperchaos formation scenario in the modified Anishchenko–Astakhov
generator. The scenario is connected with the existence of sequence of secondary torus …

A system of two identical superconducting quantum interference devices (SQUIDs)
symmetrically coupled through their mutual inductance and driven by a sinusoidal field is …

We study nonlinear dynamics in a system of two coupled oscillators, describing the motion of
two interacting microbubble contrast agents. In the case of identical bubbles, the …

We study bifurcation mechanisms of the appearance of hyperchaotic attractors in three-
dimensional maps. We consider, in some sense, the simplest cases when such attractors …

We study the process of the destruction of synchronous oscillations in a model of two
interacting microbubble contrast agents exposed to an external ultrasound field. Completely …

A hierarchical network of pulse-coupled spike microoscillators (MOs) capable of randomly
responding to an external signal has been studied theoretically and experimentally. The …

In this article, we study the coupling of a collection of molecular oscillators, called
repressilators, interacting indirectly through enzymatic saturation. We extended a measure …

Cellular functions are regulated by intracellular networks of biochemical pathways. Every
cell—single or part of a tissue or cell-collective—interacts with its environment and …