Chaos-based cryptography: a new promise to online security

A team of researchers at IFSC at the University of S. Paulo is working on the development and improvement of a new encryption system based on chaos theory, more efficient than conventional methods which could offer better security for online financial transactions, for instances, with the advantage of operating at high speed even on devices with limited hardware and low processing capacity. (read more)

Biodiversity and Math

Computer Science, Physics, Mathematics and biodiversity, are there connections between these fields ? In this link you can find an article about how the SCG deals and connects these topics.

SCG Admission

Post-doctorate: There are two positions available for post-doctorate researchers at the SCG, if you are interested send a message on the contact page.

Doctorate: There are no positions avaiable for PhD candidates at the moment. Send a message to enter in the PhD candidates queue for the next selection contact page.

Master Degree: There are no positions avaiable for Master Degree at the moment. Send a message to enter in the Master candidates queue for the next selection contact page.

Undergraduate: There are available positions to undergraduate students.

arXiv papers

Download open scientific papers. Check out the SCG's arXiv papers

Butterfly effect

Butterfly effect is a term coined by Edward Lorenz and illustrates the chaos system sensitive dependence on initial conditions. The Butterfly effect becomes famous due to the Lorenz's example of the initial condition sensitive phenomenon: "A butterfly flapping its wings in Brazil can set off a tornado in Texas".

In the following Java demonstration, the Butterfly effect is illustrated by showing the position across the iteration time, of two balls, which very (but not exactly equals) initial conditions on the Lorenz strange attractor (partial diferential equations bellow). Noticed the balls started its trajectories of almost the same point, but after a time, they can following completely different trajectories.

The Chaos Theory is a mathematics base for undertand complex phenomena in nature and can be used for a big amount of distinct applications. The SCG Group are interested in the following applications of the Chaos Theory: Pattern Recognition, Artificial Inteligence, Image Analysis, Cryptography, Information Theory, Random Numbers and Complex Systems Simulations.

Number of Iteractions (max 1600):

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