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Canary Songs

Canary Songs

Ivars Peterson

All it takes to sing like a canary is good breath and muscle control. Simply by manipulating air pressure and muscle tension in its vocal organ, or syrinx, a canary can generate an amazingly varied repertoire of trills, warbles, and other melodic syllables.

This insight comes from a novel mathematical model of sound production in a songbird's vocal organ.

In mathematical terms, "much of the complexity of the song of the canary (Serinus canaria) can be produced from simple time variations in forcing functions," Tim Gardner of Rockefeller University and his collaborators declared in the Nov. 12 Physical Review Letters.

Recent experiments suggest that a canary's syrinx generates sounds via vibrations of its labia—flaps of tissue that sit where a songbird's two bronchial passages meet its windpipe. The labia behave somewhat like a clarinet's reed, oscillating air that rushes past them. Muscles modify the stiffness of the labia and the width of the gap between the folds.

To develop their model of the syrinx, Gardner and his coworkers assumed that the labial folds act like a spring, moving back and forth to alter the size of the air passage. They also assumed that a canary uses just two mechanisms to control its vocalizations: changing the pressure of air from the lungs and modifying the stiffness of the folds. The researchers expressed their model in terms of a differential equation involving damped harmonic oscillators.

Computer simulations showed that by simply varying the air pressure and stiffness, it's possible to recreate much of a canary's rich repertoire. Indeed, some sequences of notes result from little more than a slowly changing phase relationship between oscillations governing air pressure and those controlling labial stiffness. Such cyclic behavior is characteristic of a wide variety of coupled oscillators.

"The starts, stops, and pauses between syllables, as well as variation in pitch and timbre, are inherent in the mechanics and can often be expressed through smooth and simple variations in the frequency and relative phase of two driving parameters," the researchers concluded.

In other words, it may not require a lot of brain power on the part of a canary to sing its heart out and attract a mate.

Fuente:

http://www.sciencenews.org/articles/20011124/mathtrek.asp

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