chaos theory the butterfly effect
TRANSCRIPT
What is Chaos?
Chaos, defined as, “a state of utter confusion or disorder; a
total lack of organization or order.” (chaos) This is different
than complexity, with which chaos is often confused. Our
universe is complex but not chaotic, says Richard Pascale in
Surfing the Edge of Chaos. Chaos Theory is based on the
principles that; what appears chaotic inherently contains
order; small changes cause varied outcomes due to itera-
tion, also known as the Butterfly Effect; and the equations
associated with prediction are dynamic, rather than linear.
Chaos vs. Complexity
“Humans tend to regard as chaotic that which they cannot
control. (Pascale 6)” In reality, we are facing a complex
universe in which mechanical metaphors no longer explain
its workings. Scientists employing a reductionist method of
inquiry—based on the Newtonian premise that systems are
no more than the sum of their parts and that such systems
can be understood by reduction to and study of those parts
(reductionist)—fails to consider multiple causes, multiple ef-
fects, and the interrelationships. The relativley new science
of complexity studies complex adaptive systems, known by
these characteristics; members of the system act on their
own while responding together, members can figure out
how the environment works, and they adapt together by
learning and changing. Pascale uses the African termite
colony to illustrate an adaptive complex system. Based
on a few genetically programmed rules, the termites know
what to do in a variety of changing circumstances. Their
twelve-foot-high mound is home to millions of termites and
is, according to Naturalist Richard Connif, “...an architec-
tural wonder,” with complex passages, ventillation systems,
and living quarters consistent with their social hierarchy.
(Pascale 4-5) Humans have long sought stability and safety
from the unpredictablility of nature. Complexity science
and Chaos Theory come closer to explaining our universe,
which we now know is much more complex and dynamic
than a simple, linear machine. Pascale stresses that a “liv-
ing system” is not a metaphor of our condition, (like the
universe as machine,) but rather reality as we can best con-
ceive of it at this point in our journey.
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Chaos Theory
From sustainableleadership.info, Capstone Learning Experience UI&U, April 2008
The Butterfly Effect
The Butterfly Effect refers to the idea that a force as small as
the flapping of a butterfly’s wings can change something as
large as a weather pattern on the other side of the planet.
Edward Lorenz, an MIT Meteorologist, was working with
non-linear equations to predict weather patterns. In order
to save time, (and also to go out for a cup of coffee,) he left
his computer recalculating an equation that he’d already
worked so he could check some of the details. However,
instead of using six decimal points, he rounded it to three.
Expecting similar results upon his return, he was shocked to
find that a totally different pattern had emerged. He knew
at this point that accurately predicting weather was nearly
impossible. Because such a slight change could significantly
affect the outcome, and because meteorolgy is a complex
system with many causes, effects and relationships, it is dif-
ficult to identify all the parts of the system contributing to
the actual weather. (Briggs 68-69)
Non-linear Equations
One of the differences between complexity and linear-
ity is the kind of equation used to predict an outcome—in
particular, an unexpected outcome. In Newtonian physics,
small changes produce small outcomes. To arrive at a large
outcome, many small, outcome-bearing changes must be
added together. However, in the case of an explosion or an
earthquake, a large and sudden event appears to happen
out of nowhere. For “surprise” events such as these, a non-
linear equation includes something called feedback, which
is when a part of the loop is multiplied by itself, radically
changing the balance of the equation. There are two types
of feedback; positive and negative. Positive feedback isn’t
necessarily good, it just means that the process is amplified
(in a positive or negative way,) such as in the case of my
IRA. The longer I leave it in the market, the more money
accrues which earns increasingly more interest. Negative
feedback simply regulates a system, which can be illustrat-
ed by the HVAC system in my apartment. As the tempera-
ture in the dining room drops below 70˚ the thermostat
tells the furnace to produce heat until the temperature gets
back above 70˚ at which time the furnace stops blowing
hot air into my apartment. Without the balancing, negative
feedback, a system would not know how to act. (Briggs
23-26)
What Does Chaos Theory Have to do With Sus-
tainable Leadership?
As has been stated by many thinkers in the field of organi-
zation and leadership, it is becoming clear to us that we are
living systems and not machines, which challenges us to find
a new way to be together and go about our business.
In organizaitons, we focused attention on structure and or-
ganzational design, on gathering extensive numerical data,
and on making decisions using sophisticated mathematical
formulas. We’ve spent years moving pieces around, build-
ing elaborate models, contemplating more variables, creat-
ing more precise forms of analysis. Until recently we really
believed that we could study the parts, no matter how many
of them there were, to arrive at knowledgte of the whole.
We have reduced and described and separated things into
cause and effect , and drawn the world in lines and boxes.
(Wheatley 29)
Our Modern, Newtonian glasses have colored the way we
think of everything. Even our Postmodern contact lenses fail
to give us an accurate picture of the universe. Due to ad-
vances in science and technology, our discoveries are out-
running our ability to perceive the world as it is. And who
knows how the world will look tomorrow. What is apparant
is the need for flexibility and adaptability that is inherent in
complex systems, and the ability to see ourselves as organ-
ic instead of man-made.Our environment is changing every
day and the change is happening faster and faster.
Decentralization of leadership is an emerging expression
of organizational adaptability, called to attention in The
Starfish and the Spider, by Brafman and Beckstorm. Groups
like Wikpedia (wiki means quick in Hawaiian,) Craig’s List,
and The Burning Man Project operate on a few norms that
can be enacted by any member. This type of organiza-
tion is started by a catalyst instead of a traditional, top-
down leader, and the operations are handled mainly by
the members, with solid structural support coming from the
“owners.” The advantage of a “starfish” organizaiton is its
adaptatability to changing climates, its ability to continue
running when part of it gets cut off (even the leader,) and
the investment brought to the organization by each individ-
ual member. Of course, “starfish” systems generally don’t
make as much money as traditionally run “spider” organi-
zations, but there is a longevity inherent and possibly worth
more in the long run. (Brafman)
Equalibrium equals death. “Prolonged equilibrium dulls and
organism’s senses and saps its ability to arouse itself ap-
propriately in the face of danger. (Pascale 21) The threat
of death (based on Darwin’s work) and the promise of sex
(continued genetic diversity) are survival mechanisms built
in to every living system. Moving away from equalibrium
toward chaos provides the very circumstances needed to
strengthen our survival skills. This is contrary to our under-
standing of a controllable and mechanistic universe. (Pas-
cale 26) Procreation is, in a sense, the closest we humans
come to pure creativity, which is also expressed in many
other ways such as art, poetry, music, and ideas. The act of
creativity, whether it take the form of a symphony or an un-
wanted pregnancy, requires that we be taken to the edge
of chaos. Of The Burning Man Festival, Brafman says this:
When you put people in an open system, some of them will
get high, dance all night long, and attack street signs. But
most people will create elaborate art, share snow cones,
and try as hard as they can—in thier own way—to contrib-
ute to the community. And Burning Man, though outside
the mainstream, holds a crucial lesson for businesses. When
you give people freedom, you get chaos, but you also get
incredible creativity. Because everyone tries to contribute
to the community you get a great variety of expression—
everything from 20-foot giraffes to seminars on raw food,
to free haircuts, to a five-star hotel-tent. (Brafman 80-81)
Works Cited
Ori Brafman and Rod A. Beckstrom. The Starfish and the
Spider: The Unstoppable Power of Leaderless Organiza-
tions. Portfolio Hardcover. 2006
Briggs, John, & F. David Peat. Turbulent Mirror: An Illustrat-
ed Guide to Chaos Theory and the Science of Wholeness.
New York: Harper & Row. 1971.
“chaos.” Dictionary.com Unabridged (v 1.1). Random
House, Inc. 30 Mar. 2008. <Dictionary.com http://diction-
ary.reference.com/browse/chaos>.
Pascale Richard T., Mark Millemann, & Linda Gioja. Surfing
the Edge of Chaos. New York: Three Rivers. 2001
“reductionist.” Wikipeida: The Free Encyclopedia. Wikime-
dia Foundation, Inc. 30 Mar. 2008. <Wikipeida http://
en.wikipedia.org/wiki/Reductionist>.
Wheatley, Margaret., and Myron Kellner-Rogers. The Irre-
sistible Future of Organizing. July August 1996. <http://
www.berkana.org>.
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