Pop name for dynamical systems theory, a branch of mathematics.
The qualitative study of unstable aperiodic behavior in deterministic nonlinear dynamical systems” (Kellert, 1993, p. 2). Aperiodic behavior is observed when there is no variable, describing the state of the system, that undergoes a regular repetition of values. Unstable aperiodic behavior is highly complex: it never repeats and it continues to manifest the effects of any small perturbation.
Describes the behavior of nonlinear systems. A subset of nonlinear dynamics analysis, chaos theory is a branch of mathematics focusing on irregular and complex behavior that has an underlying order. In the stock market, chaos theory seeks to forecast the future path of stock prices, including sudden changes that occur during periods of intense market activity.
Misleadingly labelled: this is the concept that patterns which appear to be chaotic can be quite predictable, because a small change in one measure can lead to a major change in another. So if you understand the mechanisms, the apparent chaos disappears. Water changing to steam when it boils is almost an example of such "chaos". See Butterfly effect.
Mathematical theory that the universe is deterministic, but that it is only predictable within narrow limits of space and time due to the uncertainty of measurements of relevant initial conditions.
The mathematics of certain types of discontinuous functions, which appears to be relevant to some areas of financial analysis.
Submitted By The Authors A scientific discipline which is based on the study of nonlinear systems. The terms complexity theory and complex systems theory describe the theory more adequately, however, chaos theory is more widely accepted. More information on chaos theory is availbale at the chaos theory main page.
a multifaceted, multidimensional theory which accounts for behaviors in the living and physical domains related to complexity, scale, and patterns of change.
level: Comprehensive (3) [ order by level] A mathematical theory explaining how apparently complex and unpredictable behavior can originate from relatively simple dynamics that can be described by a few short equations. It has applications especially in physics, but also in biology.
A new perspective emerging out of the study of dynamics that is discovering and mapping a high level of order and pattern in what has long been thought to be random activity.
Synonym for dynamical systems theory
A science which deals with the complex harmonies and dis-harmonies exhibited by natural and social systems. It is the study of the changing ratio of order and disorder in an outcome field. That set of foundational ideas which describe the behavior of complex unpredictable systems. Chaos theory focuses upon states with multiple periods or without predictable periodicity. Chaos research studies the transitions between linear and non-linear states of such dynamical systems. [From Chaos, L. G. abyss; from which our word, chasm also comes. The presumed original state of disorder of the unformed world. Funk and Wagnalls Dictionary.
(noun) Describes the complex and unpredictable motion or dynamics of systems that are sensitive to their initial conditions. Chaotic systems are mathematically deterministic-that is, they follow precise laws, but their irregular behavior can appear to be random to the casual observer.
The description of dynamical complex systems which are unpredictably modified by changes in the initial conditions and changes in the enveloping environment. If it is irregularly influenced by feedback, a system increases in complexity and constantly changes. The system is holistic because these changes occur within a certain limit or boundary (strange attractor) even though it too may dynamically fluctuate.
In mathematics and physics, chaos theory describes the behavior of certain nonlinear dynamical systems that under certain conditions exhibit a phenomenon known as chaos. In biology chaos theory can explain how small random events may affect large ecosystems in an unpredictable way. Among the characteristics of chaotic systems, described below, is the sensitivity to initial conditions (popularly referred to as the butterfly effect).
Chaos Theory is the 180th episode of the NBC television series, ER
Chaos Theory is the 1st album released by the band Escape Velocity. It was released independently on April 14, 2005. The album contains 12 tracks and is an enchanced CD, including bonus tracks and videos.