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- W4225286265 abstract "Our investigation of logarithmic spirals is motivated by disparate experimental results: (i) the discovery of logarithmic spiral shaped precipitate formation in chemical garden experiments. Understanding precipitate formation in chemical gardens is important since analogous precipitates form in deep ocean hydrothermal vents, where conditions may be compatible with the emergence of life. (ii) The discovery that logarithmic spiral shaped waves of spreading depression can spontaneously form and cause macular degeneration in hypoglycemic chick retina. The role of reaction-diffusion mechanisms in spiral formation in these diverse experimental settings is poorly understood. To gain insight, we use the topological shooting to prove the existence of 0-bump stationary logarithmic spiral solutions, and rotating logarithmic spiral wave solutions, of the Kopell-Howard lambda-omega reaction-diffusion model." @default.
- W4225286265 created "2022-05-05" @default.
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- W4225286265 date "2022-05-01" @default.
- W4225286265 modified "2023-09-26" @default.
- W4225286265 title "Logarithmic spiral solutions of the Kopell–Howard lambda–omega reaction–diffusion equations" @default.
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- W4225286265 doi "https://doi.org/10.1063/5.0082736" @default.
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