Nonlinear model of the firefly flash

NONLINEAR DYNAMICS(2020)

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摘要
A low dimensional nonlinear model based on the basic lighting mechanism of a firefly is proposed (Saikia and Bora in Nonlinear model of the firefly flash. http://export.arxiv.org/pdf/2002.01183 ). The basic assumption is that the firefly lighting cycle can be thought to be a nonlinear oscillator with a robust periodic cycle. We base our hypothesis on the well-known light producing reactions involving enzymes, common to many insect species, including the fireflies. We compare our numerical findings with the available experimental results which correctly predicts the reaction rates of the underlying chemical reactions. Toward the end, a time-delay effect is introduced for possible explanation of appearance of multiple-peak light pulses, especially when the ambient temperature becomes low.
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关键词
Firefly,Dynamical model,Hopf bifurcation,Time delay,Period doubling bifurcation
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