But an underlying mechanism subject to deterministic chaos
would produce completely random-looking data, yet be completely determinate.
Now the test asks: Are the variations of the economic variable from trend characterized by deterministic chaos
? Moreover, AR model specification is not a science, it is more of an art.
Brock, Dechert and Scheinkman (1987) applied the correlation integral to form a statistical test that may be employed to detect various types of nonlinearity as well as deterministic chaos
. BDS show that if [x.sub.t] is IID with a nondegenerate distribution,
This study examines five major trading currencies and three less actively traded currencies for the existence of low-dimensional deterministic chaos
. Specifically, the following spot markets are analyzed for the exchange of U.S.
Thus, by utilizing a statistical methodology specifically designed to detect low-dimensional deterministic chaos
in the major Pacific Rim stock markets, this study fills an important void in the existing literature.
Wolfram (2002) avers that fluid turbulence has a component of randomness as well as one of deterministic chaos
If deterministic chaos
is accepted as granted, the concept of free will can be equated with the "illusion of intent" imputed upon humans as it is often imputed upon other complex systems such as evolution.
Ever since Lorenz s early 1960s discovery of deterministic chaos
, the connection between mathematics and atmospheric science has been growing closer and closer.
However, further proof that the deterministic chaos
exists in the drilling practice is missing.
Another example of interconnection between deterministic chaos
and EAs represents the research focused on the embedding of chaotic dynamics into the EAs.
(1) The phenomenon of chaos: (i) in behavior of the environmental interface temperature computed from the energy balance equation, (ii) in coupling of processes of vertical and horizontal energy transfers in climate models which can result in something that is much more complex than the deterministic chaos
of those models (Section 2), and (2) complexity analysis of the climate model output time series which is elaborated in Section 3.
This phenomenon of deterministic chaos
was first uncovered by Lorenz as he observed the sensitive dependence of atmospheric convection model output on initial conditions .