Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 4.5, Problem 1E
Interpretation Introduction
Interpretation:
To find the graph of function
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.
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Chapter 4 Solutions
Nonlinear Dynamics and Chaos
Ch. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.2 - Prob. 1E
Ch. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.6 - Prob. 1ECh. 4.6 - Prob. 2ECh. 4.6 - Prob. 3ECh. 4.6 - Prob. 4ECh. 4.6 - Prob. 5ECh. 4.6 - Prob. 6E
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