Glen, Thank you for the cool image and for diving into the code. To answer your question, I am using Euler's method to compute the trajectories of the Lorenz equations. `Eball` denotes the step size of the integration. In theory, making the Eball param smaller ought give better numerical solutions while increasing ought give less accurate solutions.
Takens' method, seems to rely heavily on an appropriate choice of delay time. I utilize a BBD <https://en.wikipedia.org/wiki/Bucket-brigade_device> style delay line, @delay in code. In my investigations so far, a step size of 0.003 seems best paired with a delay of 30 steps. A step size of 0.009 seems to benefit from a shorter delay of 10 steps. Decreasing the step size to 0.0009, I have been able to increase delay times to 100 steps with satisfying result. I suspect that by weakening the accuracy of the integration, longer delay times force Takens' method to rely on less accurate information and the reconstruction suffers. I am open to additional thoughts and theories. Cheers, Jon
============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove
