CHAOS THEORY

Sociologyindex

Sociology Books 2008

Chaos or complexity theory distinguishes the presence of social disorder from order within social disorder (Young, 1992; Milovanovic, 1997). The notion of patterned regularities operating deep within the apparent randomness of dynamic systems (including the behavior of society as a macro/micro system) challenges the assumptions informing correctional, psychiatric, and/or legal practice. 

What chaos is - and isn't - andrewclem.com/Chaos.html
"Chaos theory" is the popular term used to describe a novel, quite revolutionary approach to a wide range of mathematical, pure science, and applied science fields. Other people prefer the terms "complexity theory" or "dynamic systems theory." It purports to be a "new paradigm," that is, a comprehensive framework to guide and evaluate research and analysis that transcends the limitations of conventional ("normal") science. The fundamental lesson of chaos theory is that the behavior of a wide range of "dynamic systems" (e.g., the atmosphere, the solar system) is extremely sensitive to minute fluxes in initial conditions, thus making it virtually impossible to obtain accurate medium- and long-term predictions. Although this finding seems quite discouraging, in fact it opens the door to solving or coping with a wide range of heretofore vexing problems.
Most people who have heard of Chaos theory associate it with the idea that tiny disturbances can cause enormous long-term differences. In the movie Jurassic Park, for example, the actor Jeff Goldblum waxed manic about the "butterfly effect," the idea that a butterfly flapping its wings could set in motion a sequence of self-reinforcing events that would ultimately result in a hurricane on the other side of the world. While within the realm of (distant) possibility, this misleading image has had an unfortunate effect, reducing Chaos theory as conceived by most people into a generic cliche for "the world's just a big, unpredictable mess." One often hears pundits invoking chaos theory to complain about frustrations with daily life, but that really does a disservice to the task of bringing the important insights of chaos theory to a wider audience. 

Society for Chaos Theory in Psychology & Life Sciences
The purpose of the Society for Chaos Theory in Psychology and Life Sciences (SCTPLS) is to provide a forum for scholars and practitioners who share an interest in the application of nonlinear dynamical systems models in psychology, social sciences and life sciences. SCTPLS is an international organization with participating members from over 30 countries, and one of the few truly interdisciplinary organizations where a shared nonlinear dynamical systems framework permits us to communicate effectively across disciplinary boundaries.
Members of SCTPLS share an interest in a wide range of nonlinear dynamical phenomena, such as chaos, catastrophe theory, fractal geometry, and far-from-equilibrium systems, and they appreciate the wide range of possibilities for application in such areas as clinical and organizational psychology, neurobehavioral science, medicine, economy, biology and education. -
societyforchaostheory.org/

Chaos Theory and Its Implications for Social Science Research 
Hal Gregersen, Lee Sailer 
Based on theoretical and mathematical principles of chaos theory, we argue that the customary social science goals of "prediction" and "control" of systems behavior are sometimes, if not usually, unobtainable. Specifically, chaos theory shows how it is possible for nearly identical entities embedded in identical environments to exhibit radically different behaviors, even when the underlying systems are extremely simple and completely deterministic. Furthermore, chaos theory arguments are general enough to apply to any type of entity, including individuals, groups, and organizations, and therefore they are relevant to a large domain of social science problems. As a result, this paper concludes with six familiar claims about the study of social phenomena for which chaos theory provides new theoretical arguments. - hum.sagepub.com/cgi/content/abstract/46/7/777

Social Structures and Chaos Theory - Smith, R. D. (1998)
Sociological Research Online, vol. 3, no. 1, socresonline.org.uk/socresonline/3/1/11.html
Abstract: Up to this point many of the social-scientific discussions of the impact of Chaos theory have dealt with using chaos concepts to refine matters of prediction and control. Chaos theory, however, has far more fundamental consequences which must also be considered. The identification of chaotic events arise as consequences of the attempts to model systems mathematically. For social science this means we must not only evaluate the mathematics but also the assumptions underlying the systems themselves. This paper attempts to show that such social- structural concepts as class, race, gender and ethnicity produce analytic difficulties so serious that the concept of structuralism itself must be reconceptualised to make it adequate to the demands of Chaos theory. The most compelling mode of doing this is through the use of Connectionism. The paper will also attempt to show this effectively means the successful inclusion of Chaos theory into social sciences represents both a new paradigm and a new epistemology and not just a refinement to the existing structuralist models. Research using structuralist assumptions may require reconciliation with the new paradigm. 

Chaos Theory and the Social Sciences
Abstract: The explosion of scientific interest in chaos and nonlinear dynamics has brought with it a number of attempts to draw broad implications for areas usually considered far removed from the physical sciences. Philosophical analysis can play a role in the important task of critically evaluating these interpretations, extensions, and appropriations of nonlinear dynamics. Such analysis can help us sort out the broad conceptual implications of scientific results, and to clarify the possible connections with other fields, including the study of human societies. 
In this paper, I examine three ways researchers in the social sciences have used chaos theory. The uses I consider include straightforward application of mathematical techniques as well as more speculative uses to which I have given the name "metaphorical extension." I also consider some attempts to draw normative conclusions from results in the physical sciences. These examinations are part of an ongoing project to understand what chaos theory means and what it does not mean, as a way to investigate the general question of how research in the physical sciences is and ought to be translated across disciplines. 
These reflections will concentrate on chaos theory narrowly construed: that is, the application of the techniques of nonlinear dynamical systems theory to bounded, aperiodic, unstable deterministic systems. The first type of use of chaos theory is the application of mathematical techniques. In the physical sciences, a typical experimental situation will yield a long series of measurements, from which a "strange attractor" can be sought in reconstructed phase space. Social systems present a genuine challenge to such attempts, though perhaps not an impossible one. Under what circumstances can the mathematical techniques of nonlinear dynamics and chaos theory be applied to social systems? - web.hamline.edu/personal/skellert/sample.htm

CHAOS: The Geometrization Of Thought
(Talk given to the Chaos in Psychology Association) - fdavidpeat.com/bibliography/essays/text/oril.txt
F. David Peat
Introduction
As a result of the popular books and magazine articles that have appeared over the last few years the topic of chaos theory has become familiar to many people. While some psychologists may not be comfortable with the mathematical details of the theory they are probably acquainted with its broad outlines and general concepts. Thus, for example, the image of "butterfly effect" is often applied to systems so extraordinary sensitive that a perturbation as small as the flapping of a butterfly's wings produces a large scale change of behavior. While chaos theory holds that such systems remain strictly deterministic they are, nevertheless, so enormously complex that the exact details of their behavior are, in practice, unpredictable even with the aid of the largest computers.
On the other hand, since such systems remain within the grip of their strange attractor while the details of their fluctuations appear to be random, nevertheless, their chaos is contained within a particular range of all possible behaviors. Their dynamics may, for example, exhibit a fractal structure in which similar patterns are repeated at smaller and smaller scales of space and intervals of time. As an example, while it is impossible to predict the exact value of a particular share on the stock market at an arbitrary date in the future one may be able to say something about its general pattern of fluctuation over a month, day or even an hour.
In a sense, therefore, chaos theory is something of a misnomer for it is not so much the study of systems in which all order has broken down in favour of pure chance but rather of those which exhibit extremely high degrees of order involving very subtle and sensitive behavior. The full description of such systems would require an enormous, potentially an infinite, amount of information. On the other hand, highly complex behavior can sometimes be simulated in very simple ways through the constant repetition of an iterative processes such as Prigogine's baker's transformation or the non-linear feedback associated with the changing size of insect populations.
While chaos theory and fractal descriptions are capable of simulating a wide variety of natural processes it remains an open question as to the extent to which such theories actually offer a full account of the inner workings of nature and society. For example, while repeated iterations can generate complex results this does not necessarily mean that such iterations are part of the actual generative processes of nature itself. Another pertinent question is to what extend dues absolute randomness and chaos occurs within the universe. While chaos theory is purely deterministic may there exist certain natural processes that are essentially chaotic, indeterministic and random? Quantum theory would be an obvious choice, for the time at which a radioactive nucleus disintegrates is, according to the theory, absolutely indeterministic - it is a matter of pure chance. David Bohm, however, has produced a deterministic version of quantum theory which perfectly accounts for all the empirical findings and predictions of the theory without invoking the assumption of absolute chance.
Another area in which intrinsic randomness occurs is in the sequence of digits of an irrational number. But what is the ontological basis of such numbers in nature? Are they a manifestation of intrinsic randomness in the universe or do they represent the abstract limits of processes that involve an infinite amount of information? At present there seems to be no way of deciding whether pure chance and randomness plays a role in the cosmos or if all systems are essentially deterministic in nature.