Chaotic Behavior of Stiff ODEs and Their Derivatives: An Illustrative   Example
  In the following, an illustrative example concerning difficulties in differentiating stiff ODEs is presented. In the given example, the solution of a completely deterministic system becomes chaotic due to computational noise introduced by the numerical algorithm. 
Emre \"Ozkaya, Nicolas R. Gauger, Anil Nemili
math.NA math.DS