Galaxy Shapes

Galaxy Clusters


Butterfly Effect

Strange Attractors

Dark Matter



Einstein's Theory

Twin Paradox

Big Bang

Chaotic Inflation

















































Copyright (c)

Lori Gardi



Part I

Part II

Part III

Part IV









































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Strange Attractors

Lorenz Galaxy

Strange Attractors

What is a Strange Attractor?

There are a lot of ways of looking at a strange attractor so instead of ONE definition, I’m going to give you FOUR.

1 A strange attractor is a pattern existing in a complex mathematical space (or phase space). This pattern represents the path traced by a point in that space.

2 A strange attractor represents the parameter space of a chaotic system, so each output of the equation becomes a parameter for the next step or iteration.

3 A strange attractor represents the “solution” to a nonlinear equation, dynamic or chaotic system. The pattern generated by these strange attractors is fractal in nature.

4 Strange attractors exhibit stable, non-periodic behaviours or dynamics that can be represented as a non-repeating (fractal) pattern in the system’s phase space.

Put simply, strange attractors make fractals. In the case of the Lorenz attractor, the solution to that set of equations is the Lorenz Butterfly or Lorenz Attractor that we see here. Notice the similarity between the Lorenz dynamic and this galaxy pair of supposedly colliding galaxies. I believe that strange attractors have a lot more to do with how our universe works than we have previously given credit. I believe that there is a possibility that black holes are actually strange attractors and that complex “black holes” can cause complex objects such as galaxy clusters to form.