What Are The Common Causes of Wild Fluctuations In An Array of Data?

While I cannot post the code, I hopefully should be able to describe the issue in enough detail.

I have a program that works fine for the vast majority of values. I start to run into an issue for a small subset of initial values. Another troubleshooting program plots a visual from a matrix of values, and in a distinct area, the program looks like it is breaking down. Two column arrays was taken from this matrix, one 'good' array which does not contain the troublesome data, and a 'bad' array which does.

In the 'bad' region of the 'bad' array, my numbers start to fluctuate wildly from positive, negative, and mixed positive-negative complex values for nearly every subsequent point, one after the other.

I would like any advice, if it can be given, why such behavior might occur in the hopes that I may use this knowledge to figure out why such behavior is occurring in my program. Thanks.

[Jan]

This can be answered only, if you post the corresponding code.

The common case is a system, which unstable either inherently or due to an unstable numerical implementation.

[BM]

Hi Jan, can I ask what you mean by an unstable numerical implementation? Could this be a case of me pushing the accuracy limits of MATLAB? I certainly do obtain values, but so far even implementing some attempts to fix the issue using vpa have not yielded success.