chaos theory

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Related to Chaotic systems: 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 ?
In Section 4, we discuss the chaos synchronization of two different chaotic systems with Murali-Chua circuit system as the master system and Duffing attractor as the slave system.
1, and the attractors between two chaotic systems is shown in Fig.
Whatever the mechanism may be, there does not appear to be any way to test the mathematical model of a chaotic system so as to predict precise results.
It should be noted that chaotic systems might provide some advantage to forecasting/technical analysis in the very-short run (say a few days when dealing with chaotic dally data).
Another characteristic of chaotic systems is that even the tiniest error completely changes the results.
Given that measurement of w with infinite accuracy is not practical, both basic forecasting devices--extrapolation and estimation of structural forecasting models--become highly questionable in chaotic systems.
They go on to demonstrate how early care and education programs reflect many characteristics of Chaotic systems, including: 1) decomposability, 2) nonlinearity/nonpredictability, 3) sensitivity to initial conditions, 4) recursive symmetries between scales, 5) feedback mechanisms, and 6) the existence of attractors.
It is a common feature of all such so-called chaotic systems that at least one non-linearity appears in the equations of motion.
condition for chaotic systems, although the existence of a nonlinear
In phase space chaotic systems are described by strange attractors with the intrinsic property that the trajectories do not intersect themselves.
Looking at chaotic systems from a unique and creative perspective, Lorenz draws out the meaning of such characteristics of chaotic systems as sensitive dependence on initial conditions, strange attractors, aperiodicity and stability/instability.
Staffordshire University is to start applying Chaos Theory - the branch of mathematics used to explain chaotic systems - in an attempt to unravel the cordless, confused world of mobile telephones.