Evidence of Negative-Index Refraction in Nonlinear Chemical Waves

Yuan, Xujin; Wang, Hongli; Ouyang, Qi

doi:10.1103/physrevlett.106.188303

Cited by 12 publications

(7 citation statements)

References 23 publications

(26 reference statements)

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“…Since then, they have also been discovered in some other systems, such as the single-phase reaction-diffusion (RD) system [16], the artificial tissue of oscillatory cells [17], oscillatory glycolysis [18], etc., and have been extensively studied (see, e.g., Refs. [19][20][21][22][23]). In particular, they have also been observed numerically in nonuniform excitable media recently [24].…”

Section: Introductionmentioning

confidence: 99%

Chiralities of spiral waves and their transitions

Pan

Cai

et al. 2013

Phys. Rev. E

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The chiralities of spiral waves usually refer to their rotation directions (the turning orientations of the spiral temporal movements as time elapses) and their curl directions (the winding orientations of the spiral spatial geometrical structures themselves). Traditionally, they are the same as each other. Namely, they are both clockwise or both counterclockwise. Moreover, the chiralities are determined by the topological charges of spiral waves, and thus they are conserved quantities. After the inwardly propagating spirals were experimentally observed, the relationship between the chiralities and the one between the chiralities and the topological charges are no longer preserved. The chiralities thus become more complex than ever before. As a result, there is now a desire to further study them. In this paper, the chiralities and their transition properties for all kinds of spiral waves are systemically studied in the framework of the complex Ginzburg-Landau equation, and the general relationships both between the chiralities and between the chiralities and the topological charges are obtained. The investigation of some other models, such as the FitzHugh-Nagumo model, the nonuniform Oregonator model, the modified standard model, etc., is also discussed for comparison.

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Section: Introductionmentioning

confidence: 99%

Chiralities of spiral waves and their transitions

Pan

Cai

et al. 2013

Phys. Rev. E

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“…Inwardly propagating waves, e.g., inwardly propagating concentric waves and inwardly rotating spirals (IRSs), were first observed in the oscillatory Belousov-Zhabotinsky (BZ) reaction that dispersed in water droplets of a water-in-oil aerosol OT (AOT) microemulsion (BZ-AOT system) [1,2]. 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].…”

Section: Introductionmentioning

confidence: 99%

Inwardly rotating spirals in nonuniform excitable media

et al. 2012

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Inwardly rotating spirals (IRSs) have attracted great attention since their observation in an oscillatory reaction-diffusion system. However, IRSs have not yet been reported in planar excitable media. In the present work we investigate rotating waves in a nonuniform excitable medium, consisting of an inner disk part surrounded by an outer ring part with different excitabilities, by numerical simulations of a simple FitzHugh-Nagumo model. Depending on the excitability of the medium as well as the inhomogeneity, we find the occurrence of IRSs, of which the excitation propagates inwardly to the geometrical spiral tip.

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“…However, a type of abnormal spiral wave, named anti-spiral wave, was observed in the BZ-AOT reaction, which propagates from the boundary to the spiral center [78,79]. Subsequently, the anti-spiral waves were found in other systems, e.g., chlorite-hydroiodate-malonic acid reactions [80,81], catalytic oxidation on the surface of Pt(110) [82], artificial tissue of oscillating cells [83], and glycolysis reactions [84]. In order to understand the formation mechanism of the anti-spiral waves, a lot of theoretical and numerical studies have been carried out [85][86][87][88][89][90][91][92][93][94][95][96].…”

mentioning

confidence: 99%

Spiral waves in population density distributions of invasive pests in warm-temperate deciduous forest ecosystems

Jian¹,

Gu²,

Shen³

et al. 2021

EPL

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Globally, forests are increasingly being affected by invasive alien pests, some of which have caused wholesale destruction of trees. Recent research suggests that, in the United States, large-scale forests have been invaded by an astonishing number (> 450) of tree-feeding pests. Invasive alien pests always induce cascading ecological effects, leading to harmful socioeconomic consequences; however, the prevention and control of invasive alien pests in forests have been facing significant challenges worldwide. Here, we studied theoretically the control of invasive nonnative pests in warm-temperate deciduous forest ecosystems by their natural enemies (biological control), and controlled them to an extent that ecosystems can bear. We obtained a novel type of spiral wave in the spatial distribution of population density, and also observed a transition phenomenon between spiral wave and anti-spiral wave, which is explained by a mathematical analysis. Specifically, the formation of this type of spiral wave is attributed to the directional transformation of states between the period-5 orbits under the impact of diffusion transport. And the transition phenomenon is caused by changes of relative positions of the period-5 orbits in phase space. Moreover, we also found a novel type of instability of spiral wave, which includes a birth-growth-death process of spiral fragments. The findings provide possible regularities in the process of biological control of invasive alien pests in the complex and changeable forest ecosystems, which may guide actual biological control projects.

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Evidence of Negative-Index Refraction in Nonlinear Chemical Waves

Cited by 12 publications

References 23 publications

Chiralities of spiral waves and their transitions

Chiralities of spiral waves and their transitions

Inwardly rotating spirals in nonuniform excitable media

Spiral waves in population density distributions of invasive pests in warm-temperate deciduous forest ecosystems

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