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The journey to understanding chaos began in Newton | كليّة الرّياضيات والعلوم الطبيعيّة

The journey to understanding chaos began in Newton

The journey to understanding chaos began in Newton

 

צביר כוכבים פתוח בקבוצת הכוכבים שור. "התחזיות עובדות ברמת דיוק שבדיעבד קשה לי להאמין שהצלחנו להשיג", אמר החוקר קול

The three-body problem is to predict the motion of three bodies moving under the influence of reciprocal Newtonian gravity between them. This is one of the oldest and most fertile problems in science with a fascinating history of over three hundred years.

In 1976, the goal of a statistical solution was presented, as an alternative to a mathematical-deterministic solution that is not possible in this problem. A year ago Plus, Nick Stone, a brilliant new faculty member at the Spice Institute, along with a partner (Stone and Leigh), introduced a new calculation method for the statistical solution that is a breakthrough. From the moment I found out about her she fascinated my imagination. After a journey of several stops I came to a change of the foundations of the Torah on which all the previous works were based on the statistical solution from 1976 to Stone. This change has led to a precise reduction of the statistical prediction, to the problem of being expected to be simpler of sizing in the name of emissivity.

Together with another assumption, the new approach allowed the prediction of a certain chance (usually the system breaks down into a pair + single, and the method predicts the chances that each of the three bodies will be the same "single"). To test the theory I created a collaboration to perform computer simulations with an international team of experts. The simulations demonstrated a high fit to the Torah, even beyond what could be expected.

Currently, I am engaged in an advanced stage of other thorough research in the field of the three-body problem, and at the same time supervising a number of research students in further studies for statistical theory, post-doctoral students, advanced students and undergraduate students.