2 years ago
What causes the strange shape in strange attractors? Does the shape mean anything?
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M$1 Answer
Perhaps the best known of these is the Lorentz attractor.
http://i44.tinypic.com/2isxz8.jpg
Its shape is frequently erroneously referred to in relation to the "Butterfly effect". However there is no relation. The Butterfly effect refers to an hypothetical story of the effects of the flapping of a butterfly's wings on a distant part of the worlds weather system.
The shape is caused by the non repeating nature of the math. This is what makes it "strange" and more interesting than an attractor like a single point in space (which would be a simple dot). The shape itself does not seem to mean anything.
It illustrates its non-periodic nature and can look attractive and interesting from certain angles. The images will show the range of values - so that of course is meaningful. but the specific shape seems to not reveal anymore than what it illustrates.
http://i44.tinypic.com/2jbpg61.jpg
Its shape is frequently erroneously referred to in relation to the "Butterfly effect". However there is no relation. The Butterfly effect refers to an hypothetical story of the effects of the flapping of a butterfly's wings on a distant part of the worlds weather system.
The shape is caused by the non repeating nature of the math. This is what makes it "strange" and more interesting than an attractor like a single point in space (which would be a simple dot). The shape itself does not seem to mean anything.
It illustrates its non-periodic nature and can look attractive and interesting from certain angles. The images will show the range of values - so that of course is meaningful. but the specific shape seems to not reveal anymore than what it illustrates.
You can leave an optional "tip" with Mahalo's virtual currency, Mahalo Dollars. If you are asking a difficult question that might require some research, or if you'd like a wide variety of feedback, a higher tip often leads to more answers to your question.
M$
Cellular automata are simple programs that look symmetrical but are purely random see ca 101
fractals are repeating recursive infinite universes creating complex pattern
clouds, jet streams, thermodynamics are nonlinear systems, see a "New like of Science"