The field of non-linear dynamics (or chaos theory) provides ways to reconceptualize psychoanalytic process that have implications for the technique of psychoanalysis. This paper describes how concepts of “the edge of chaos,” emergence, attractors, and coupled oscillators can help shape analytic technique resulting in an approach to doing analysis which is at the same time less formulaic and more firmly based in an understanding of the ways in which psychoanalysis works than many recommendation about technique. Illustrations from a lengthy analysis of an analysand with obsessive compulsive disorder show this technique in action.