Visualization of Correlation Cascade in Spatiotemporal Chaos using Wavelets

Spatiotemporal consequences of relaxation time scales in threshold-coupled systems.

We study a class of models incorporating threshold-activated coupling on a lattice of chaotic elements. In such systems, the relaxation time allowed between chaotic updates determines the intrinsic driving rate due to the local chaos, and we show that there exists an inverse cascade from fixed spatial profiles to spatiotemporal chaos, as the relaxation time grows shorter. We analyze how this sp...

New Insight from Using Spatiotemporal Image Correlation in Prenatal Screening of Fetal Conotruncal Defects

Transition to spatiotemporal chaos via stationary branching shocks and holes

Spatiotemporal chaos in the complex Ginzburg–Landau equation is known to be associated with a rapid increase in the density of defects, which are isolated points at which the solution amplitude is zero and the phase is undefined. Recently there have been significant advances in understanding the details and interactions of defects and other coherent structures, and in the theory of convective a...

A New Data Rate Adaption Communications Scheme for Code-Shifted differential Chaos Shift Keying Modulation

In a binary Transmitted Reference (TR) system each bit is encoded into two wavelets of finite duration. The information is carried by the sign of correlation measured between the two wavelets. The Code-Shifted Differential Chaos Shift Keying (CS-DCSK) modulation scheme transmits the two wavelets in the same time slot and applies two Walsh code sequences to keep the wavelets separated. The CS-DC...

Period doubling and spatiotemporal chaos in periodically forced CO oxidation on Pt(110).

Periodic forcing of chemical turbulence in the catalytic CO oxidation on Pt(110) can induce a period doubling cascade to chaos. Using a forcing frequency near the second harmonic of the system's natural frequency, and carefully increasing the forcing amplitude, the system successively exhibits spiral wave turbulence, resonant pattern formation, and chaotic oscillations. In the latter case, glob...