Page 31                                              Spring 1994

Juggling Chaotically

 BY BARRETT l. DORKO

 

Energy transference from juggler to manipulated object is the essence of our art

when understood on a purely academic level.

 

The movement of a prop through the air is dependent upon not only the speed of its initial acceleration but the turbulence it creates and how that blends with the airflow present in the environment.

 

We practice in order to match our intent to the resultant throw and catch. Considering the multitude of factors that might affect the outcome of the act, it is a wonder that some order may be accurately predicted and appear.

 

There has appeared in the last 20 years a method of viewing and understanding seemingly random behavior in dynamical systems, i.e., systems that are continually changing their content and behavior in response to environmental influences. It is called Chaos Theory.

 

Chaos Theory presents us with a remarkably effective method of accurately describing phenomena as disparate as the population of species and the beating of the heart. In short, we have come to un­derstand that within seemingly random systems there lies a unique order that can be plotted and eventually seen to create a geometric shape. This shape is known as a "strange attractor."

 

Chaos Theory has also shown that ran­dom behavior and strange attractors lurk within systems previously thought to be strictly periodic or stable in a single de­fined state of being.

 

Juggling and chaos are distinctly connected by the concept of "sensitive dependence on initial conditions" alternately known as "the butterfly effect." Within systems displaying chaotic behavior it is known that a very slight alteration in just one of the many variables that affect the system can massively affect the outcome of any sequence of events.

 

Any juggler can relate to the sensitivity of their intended pattern to slight alterations in angulation, speed, force and vi­sion. The tiny perturbations that may drastically alter the shape of a juggling pattern expose the sensitive dependence in this dynamical system (i.e., the juggler and his props) and out of anticipated order there may suddenly arise chaos.

 

Finally, juggling and Chaos Theory are linked by nonlinear dynamics. This is a mathematical expression of stimulus and effect dictating that one will follow the next in no strictly proportional relation. Thus, slight alterations in speed or spin can have large and unexpected effects on both the difficulty posed the juggler and the way the pattern is perceived by the audience. Even a subtle alteration in the facial expression of the performer may spell the difference between silence and wild applause when nonlinear dynamics are present.

 

The elements of Chaos Theory can be used to understand our art or even describe it in a number of ways.

 

Does Mill's Mess represent a strange attractor within an otherwise random pattern of ball movement? Is the lJA festival the ultimate strange attractor?

 

Nonlinear dynamics drive tidal waves thousands of miles across the ocean without appreciable loss of their shape or size.

 

It is also is known to order nervous flow in the body. Has Anthony Gatto somehow harnessed this force when he does five clubs forever?

 

How can I hope to explain my tendency to miss so often today when I know that a multitude of factors singly or in combination might be at fault. Is it last night's broccoli? My socks?

 

If juggling displays both randomness and order, nonlinear reactions to stimuli and sensitivity to minute alterations in the initial act, then Chaos Theory seems a relevant avenue of study. Of course, this would not necessarily imply ultimate un­derstanding. I just write this stuff, I don't pretend to understand it!                         

 

Barrett Dorko is a physical therapist and member of the Rubber City Jugglers of

Akron, Ohio.  Suggested reading:

Chaos: Making a New Science by James Gleick, Penguin Books, 1987.

Turbulent Mirror by Briggs and Peat, Harper Row, 1989.

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