Chapter 4.5, Problem 1E

Interpretation Introduction

Interpretation:

To find the graph of function $\text{f}(\varphi )$ and the range of entrainment; assume that the firefly is phase –locked to the stimulus. Find a formula for the phase difference ${\varphi }^{*}$ also find ${\text{T}}_{\text{drift}}$

Concept Introduction:

The most spectacular examples ofsynchronization in nature is provided by fireflies.

Hanson studied that, when fire fly sees the flash of another; it immediately reduces or increases the speed so as to flash in phase with the next cycle. This results in periodically flashing a light at natural period 0.9 sec.

The firefly could match its frequency to the periodic stimulus. There was no uniform increase in the phase difference between stimulus and firefly.

There was slow increase in the phasedifferenceduring part of the beat cycle, as the firefly struggled in vain to synchronize, and then there was rapid increase through 2π, after which the firefly triedagain on the next beat cycle. This process is called phasewalkthroughor phase drift.