chaos theory

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Related to Deterministic chaos: Chaos theory

chaos theory

a branch of mathematics that seeks to predict widespread effects of small (or minute) and possibly remote triggering events; the unpredictable course of some epidemics and malignant metastases may accord with chaos theory.

chaos theory

The mathematical conception that some phenomena that seem random may be of a deterministic order highly sensitive to initial conditions and perturbations. There is a growing appreciation that chaos may be a feature of many biological systems and that chaos theory may prove to have many applications in medicine.
References in periodicals archive ?
The old paradox of determinism and predictability, versus chaos and unpredictability, also appears in the following text, written in 1864, almost a century before the mathematical theory of deterministic chaos raised into the discourse of the hard sciences:
Deterministic chaos can be understood as "aperiodic bounded dynamics in a deterministic system with sensitive dependence on initial conditions" (Kaplan & Glass, 1995: 27).
An obvious question is as follows: If evidence of the presence of deterministic chaos is weak for equity in general, why should one expect insurance stock returns to behave differently?
Second, the intent of this study is to only detect low dimensional deterministic chaos.
In fact, the sorts of feedback systems that give rise to nonlinearity and deterministic chaos are extremely common among living systems, including human social systems.
Recent studies of several rodent populations have shown both marked variability in abundance and sensitivity to initial conditions - hallmarks of deterministic chaos (Hanski et al.
This finding provided significant evidence that the S&P stock returns were driven by deterministic chaos.
Our results reveal that deterministic chaos cannot be rejected as an explanation of the dynamics of the situation.
I will describe two ways in which to apply this model, one mathematical, the working out of which is beyond my scope here, and the other metaphorical, using several features of deterministic chaos to generate new observations about Melville's problem sentences.
The evolutionary metaphor complements, and even converges on, the dynamic one from deterministic chaos, for the tools of chaos theory suggest such notions as the emergence of diversity from simple origins and the appearance of order and information in systems that are never actually in equilibrium.
This is because stochastically random sequences are more complex in the sense that they are not constrained, as is deterministic chaos.

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