Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
bartleby

Videos

Question
Book Icon
Chapter 4.5, Problem 1E
Interpretation Introduction

Interpretation:

To find the graph of function f(ϕ) and the range of entrainment; assume that the firefly is phase –locked to the stimulus. Find a formula for the phase difference ϕ* also find Tdrift

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.

Blurred answer
Students have asked these similar questions
7. The demand for a product, in dollars, is p = D(x) = 1000 -0.5 -0.0002x² 1 Find the consumer surplus when the sales level is 200. [Hints: Let pm be the market price when xm units of product are sold. Then the consumer surplus can be calculated by foam (D(x) — pm) dx]
4. Find the general solution and the definite solution for the following differential equations: (a) +10y=15, y(0) = 0; (b) 2 + 4y = 6, y(0) =
5. Find the solution to each of the following by using an appropriate formula developed in the lecture slides: (a) + 3y = 2, y(0) = 4; (b) dy - 7y = 7, y(0) = 7; (c) 3d+6y= 5, y(0) = 0
Knowledge Booster
Background pattern image
Advanced Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Chain Rule dy:dx = dy:du*du:dx; Author: Robert Cappetta;https://www.youtube.com/watch?v=IUYniALwbHs;License: Standard YouTube License, CC-BY
CHAIN RULE Part 1; Author: Btech Maths Hub;https://www.youtube.com/watch?v=TIAw6AJ_5Po;License: Standard YouTube License, CC-BY