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.