Inwards Propagating Waves in a Limit Cycle Medium

Abstract

The existence of a novel inwards propagating wave motion is demonstrated in a limit-cycle medium both for the FitzHugh-Nagumo and for modified Chernyak-Starobin-Cohen reaction-diffusion systems. The waves (pulses) are seen to be moving "backwards," that is, towards the point where the triggering pulse was initiated, instead of the regular propagation away from the origin. The feasibility of the phenomenon and some of its features are analyzed.

Antispiral Waves as Sources in Oscillatory Reaction−Diffusion Media

“…It should also be stressed that many authors have found (what is now often called) antispirals or antitargets in numerical simulations in continuous and discrete oscillatory and chaotic media and simply classified them as spirals or targets see e.g. [12,13,14,15,16,17,18]. More recent reports have adapted the new name antispiral in the sense it is used here [19,20].…”

Evidence of Negative-Index Refraction in Nonlinear Chemical Waves

“…In contrast antitarget and antispiral waves propagate inwardly towards the wave source, because the phase and group velocities are opposite. Numerous theoretical and numerical studies have been carried out to investigate this antiwave behaviors [6][7][8]. Among them, the refractive index of these nonlinear waves on the wave-antiwave interface is a major focus [8][9][10].…”

Inwardly rotating spirals in nonuniform excitable media

“…Subsequently, inwardly propagating waves were discovered in other systems, such as the chlorite-iodide-malonic acid (CIMA) reaction [3,4], the oscillatory CO oxidation on Pt (110) [5], an artificial tissue of oscillatory cells [6], and glycolysis [7]. Numerous theoretical and numerical studies have also been carried out to investigate the behaviors of these inwardly propagating waves [8][9][10][11][12][13][14][15][16][17].…”