Butterfly effect in 3D gravity

Butterfly effect

That the flap of a butterfly’s wing might lead to a storm or other event halfway around the globe is a popular image used to introduce chaos theory. But two small lepidopterans appear to have played a major part in the scrapping of plans to build a new nuclear power station on a shingle bank in the south-east of England, which is becoming an increasing focus in the International Year of Biodive...

Butterfly Effect Fractal

In this paper, a new concept of integration of fractal and the butterfly effect is proposed and implemented. A new fractal program was designed and developed to perform such integration. Among many existing fractal and chaos software programs, none of them allow us to achieve the resulting patterns demonstrated in this paper. Moreover, it is the first time that a fractal program provides functi...

The Security Butterfly Effect

3D gravity data-space inversion with sparseness and bound constraints

One of the most remarkable basis of the gravity data inversion is the recognition of sharp boundaries between an ore body and its host rocks during the interpretation step. Therefore, in this work, it is attempted to develop an inversion approach to determine a 3D density distribution that produces a given gravity anomaly. The subsurface model consists of a 3D rectangular prisms of known sizes ...

New solutions in 3D gravity

We study gravitational theory in 1 + 2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the corresponding coupling constants vanish, we are left with the purely Einstein theory of gravity. We obtain new exact solutions for the gravitational field equatio...