Beauty in the Midst of Chaos
ABHIRUP MOITRA
Research Scholar VIT-AP | Complex Dynamics & Fractal Geometry | Mathematical Analysis, Mathematical Statistics, Theoretical Statistics | R UseR
Paris was a great centre for world mathematics towards the end of the 19th Century, and?Henri Poincaré?was one of its leading lights in almost all fields – geometry, algebra, analysis – for which he is sometimes called the “Last Universalist”. In 1887 for his partial solution to the “three-body problem”, a problem that had defeated mathematicians of the stature of?Euler, Lagrange and Laplace.?Newton?had long ago proved that the paths of two planets orbiting around each other would remain stable, but even the addition of just one more orbiting body to this already simplified solar system resulted in the involvement of as many as 18 different variables (such as position, velocity in each direction, etc), making it mathematically too complex to predict or disprove a stable orbit.
But he soon realized that he had made a mistake and that his simplifications did not indicate a stable orbit after all. He realized that even a very small change in his initial conditions would lead to vastly different orbits. This serendipitous discovery, born from a mistake, led indirectly to what we now know as chaos theory, a burgeoning field of mathematics most familiar to the general public from the common example of the flap of a butterfly’s wings leading to a tornado on the other side of the world.
The motivation for writing this article is to create awareness and provide a deep insight into Chaos theory.
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Read the full article: Beauty in the Midst of Chaos
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Data Scientist | R DevelopeR/UseR | RWE, LSH Analytics | Organizer at Kolkata R UseR | Astronomy lover | Cricket Analyst
1 年Nice ??
Semar Electric ?irketinde Industrial / Financial Controlling Manager
1 年"Mathematicians do not study objects, but relations among objects; they are indifferent to the replacement of objects by others as long as relations do not change. Matter is not important, only form interests them". — Henri Poincare
PhD Candidate | Physics and Astrophysics @University of Padua
1 年The thing is that we have many scholars and rank holders but the thing that makes the person different is the way of elaborating the topic to someone that helps them to develop the curiosity. And the theory of Chaos is among them by you thank you bro creating curiosity ??????
Statistische Datenanalyse mit der Statistikumgebung R
1 年A really very good article!? ??