The phenomenon of time-periodic evolution of spatial chaos is investigated in the frames of oneand two-dimensional complex Ginzburg-Landau equations. It is found that there exists a region of the parameters in which disordered spatial distribution of the field behaves periodically in time; the boundaries of this region are determined. The transition to the regime of spatiotemporal chaos is inve...

In this investigation, rheological properties of three different polymer-modified bitumen compounds containing recycled polyethylene terephthalate (R-PET), crumb rubber (CR) and poly (styrene-butadiene-styrene) (SBS) are evaluated and compared. The modified samples were tested by a dynamic shear rheometer (DSR) where complex modulus (G*), phase angle (δ) and rutting resistance (G*/Sinδ) of spec...

We prove the existence of $m$-armed spiral wave solutions for complex Ginzburg-Landau equation in circular and spherical geometries. establish a new global bifurcation approach generalize results rigidly-rotating waves. Moreover, we two patterns: frozen spirals geometries, 2-tip geometry.

A soliton is a nonlinear single moving wave that retains its shape and velocity during movement, is, it constant formation, when collides with isolated waves similar to itself, the phenomenon of mutual phase shift two occurs, only result interaction solitons may be some kind in phase. In this paper, we will study distribution complex Ginzburg-Landau equation (CGL) regime focuses on itself prese...

In this paper we study a complex spatiotemporal pattern, identified as spatiotemporal chaos, bifurcating at the onset from a spatially uniform solution of a system of globally coupled complex Ginzburg Landau equations governing the weakly nonlinear evolution of four travelling wave envelopes. The Ginzburg Landau system is derived directly from the weak electrolyte model for electroconvection in...