The Rikitake system is a three dimensional vector field obtained experimentally from a two-disk dynamo apparatus, which models the geomagnetic field and is used to explain the known irregular switch in its polarity. The ...

The Rikitake system is a three dimensional vector field obtained experimentally from a two-disk dynamo apparatus, which models the geomagnetic field and is used to explain the known irregular switch in its polarity. The ...

The Lorenz attractor was introduced in 1963 by E. N. Lorenz as one of the first examples of strange attractors. However, Lorenz' research was mainly based on (non-rigorous) numerical simulations, and, until recently, the ...

The geometric Lorenz attractor is an attractor set constructed in such a way that it satisfies the main qualitative properties evidenced on the Lorenz system equations, particularly the fact that this attractor is a robustly ...

A novel cryptography method based on the Lorenz`s attractor chaotic system is presented. The proposed algorithm is secure and fast, making it practical for general use. We introduce the chaotic operation mode, which provides ...

An attractor is a transitive set to which all nearby positiveorbits converge. An example of an attractor is the geometric Lorenz attractor [GH]. In this paper we prove that the geometric Lorenz attractor is a homoclinic class.

It is well known that the geometric Lorenz attractor is -expansive. In this paper we prove that the Rovella attractor is also -expansive in an almost 2-persistent way. Keywords. Author Keywords:Vector field; Expansiveness; ...