This paper investigates the global synchronization method of two identical systems and two different chaotic systems. The proposed method is effective and convenient to synchronize two identical systems and two different chaotic systems by using nonlinear control functions. The method has been applied successfully to make two identical four-scroll attractor and also two different chaotic system...

In this paper, we show that the fiber cones of rational normal scrolls are Cohen–Macaulay. As an application, compute their Castelnuovo–Mumford regularities and $$\varvec{a}$$ -invariants, as well reduction number defining ideals scrolls. We also characterize Gorensteinness cone.

We describe a novel nucleation mechanism of scroll rings in three-dimensional reaction-diffusion systems with anomalous dispersion. The vortices form after the collision of two spherical wave fronts from a third, trailing wave that only partially annihilates in the wake of its predecessor. Depending on the relative positions of the three relevant wave sources, one obtains untwisted or twisted s...

Anchoring of spiral and scroll waves in excitable media has attracted considerable interest in the context of cardiac arrhythmias. Here, by bombarding inclusions with drifting spiral and scroll waves, we explore the forces exerted by inclusions onto an approaching spiral and derive the equations of motion governing spiral dynamics in the vicinity of inclusion. We demonstrate that these forces n...

We present a review on the electronic design of chaotic oscillators. Multi-scroll chaotic oscillators are listed according to their electronic implementations. A 3-scrolls oscillator is analyzed from its mathematical description, and designed with current-feedback operational amplifiers. Finally, we list the integrated realizations, and discuss key points for future research on the design of mu...