Pilipinas Forum 20: Turbulence, Chaos Theory and the Stockmarket

Another long exchange here (12 pages) in pilipinasforum yahoogroups more than 9 years ago, on turbulence and chaos theory, applied to business and economics, the stockmarket especially. Enjoy!
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Turbulence, Chaos Theory and the Stockmarket
Feb 2002

Our friend Fidel Nemenzo sent me this one related to Dr. Muriel's lecture tomorrow evening at WSPC, AIM re. "the application of turbulence theory in stocks trading". Fidel obtained his PhD Math from Sophia U, Japan; he's the only number theorist in this country. He's teaching now at UP Diliman.
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Pards, mukhang interesting ang lecture ni Dr Muriel sa AIM. Dr Muriel is known for his ideas on turbulence, the nature of which is one of the main problems of chaos theory. One of the characters in Jurassic Park, Ian Malcolm, was a chaos mathematician. Jurassic Park was an example of a non-linear dynam ical system. Conventional (or the common-view) science (Newtonian) says that the physical world is a machine, governed by equations. If one knows these equations, and all the "initial conditions" in a a given system, just plug in these "conditions" into the equations and you can predict what happens to the system. This is what the creator of Jurassic Park believed: if you know all the "equations" what govern everything in Jurassic Park and the behavior of its creatures, plus the most accurate observations of the system, then you can predict everything that can possibly happen, and maintain control over it. Sabi ni Ian Malcolm mahirap yan, at halos impossibleng i-predict kung ano ang pwedeng mangyari. Chaos can arise out of the most "orderly" situations. Which is what happened.

The central goal of chaos theory is the study of systems that exhibit chaotic or "random" behavior. Parang may contradiction dito: the search for order within disorder. May tula si Wallace Stevens, " ... A violent order is disorder, and a great disorder is an order. These two things are one." This describes what happens in most natural systems. (Or even "social" systems, like a crowd. The most orderly crowd can metamorphose into an unruly mob in an instant, just as the perfect storm may just be over the horizon of the calmest sea.)

Another example of a "chaotic" system is the stock market, thus the growing interest in the mathematical theory of chaos among economists. Stock brokers and currency traders know that prices quoted in any financial market can change unpredictably. Huge volumes of money are made or lost in sudden bursts of activity. Classical mathematical models of finance cannot explain this behavior, for volatility is central to the behavior of financial markets. Which is why new explanations of market behavior are being sought using ideas from chaos theory. Or even fractals-- pero saka ko na lang ito i-e-explain.

The way fluid flows, or the behavior of a plume of smoke-- these contain both order and disorder. The term physicists use is turbulence-- which is chaotic and unpredictable. The study of turbulence is a key problem in physics. Conventional theories may be able to explain the smooth flow of water when the tap is turned on lightly. But nothing explains the turbulent flow of water when the tap is strong. Dr Muriel has proposed a theory which explains such behavior. I guess that's what he hopes to do in his AIM talk-- to shed some light on the volatility and unpredictability (turbulence!) of financial markets using his ideas on fluid flow. Both types of systems exhibit essentially the same activity. I can't go to the lecture; kwentuhan mo na lang ako.

- Fidel Nemenzo

Chaos theory may well become one of the most important theoretical fields in the 21st century (aside from relativity and quantum physics). I have been fascinated with how seemingly innocous changes in the initial conditions can have multiplier effects which are often complex and unpredictable. The most popular example is known as the "Butterfly Effect" in which the flapping of a butterfly's wings for example in Germany (I'm still in a thrall with the "butterfly" ending in "All Quiet on the Western Front" flick. Thanks Gina!) could cause miniscule atmospheric changes and which, given a time horizon could affect weather patterns in Pampanga. And think of how a very small change in testosterone level of an individual could trigger a nuclear war (ala Dr. Strangelove). So it could be like goodbye mankind, hello dinosaurs kind of thing.

Anyway, the latest experiment on the chaos theory involved sending a random signal to the Pioneer 10 spacecraft which is already in the edge of our solar system (before it will get blasted into smithereens by a Trekkie in the future, he he he). As Fidel pointed out, even the random dripping of a faucet has an order behind it. In other words, there's beauty in madness. or a method behind every madness.

- Glenn de Guzman