Roughly speaking, an attracting set for a dynamical system is a closed subset A of its phase space such that for "many" choices of initial point the system will evolve towards A .
Two women programmers played a pivotal role in the birth of chaos theory. Their previously untold story illustrates the changing status of computation in…
Fluids are everywhere. From ocean currents and water flow in pipes to the air around the wings of a plane and the blood inside our veins, fluids play a primordial role in our world. The field of…
Understanding how the human brain produces complex thought is daunting given its intricacy and scale. The brain contains approximately 100 billion neurons that coordinate activity through 100 trillion connections, and those connections are organized into networks that are often similar from one person to the next. A Dartmouth study has found a new way to look at brain networks using the mathematical notion of fractals, to convey communication patterns between different brain regions as people listened to a short story.
On the right hand side my fractal autopilot is cruising along the pseudobrot for z=z^c+c (z_0=c) at zoom 64. On the left hand side the corresponding Julia Set is changing its c-value with the center of the right.
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