This paper examines recent applications with particular reference to their impact on practice. It describes a model of psychoanalysis in terms of the coupling of the analyst and analysand oscillators to form a new configuration analyst-analysand with problem solving (computational) capacities different and greater than either system separately and how this model changes the way one conducts analysis. It outlines how “inexact” or “fuzzy” interpretations once thought to be anathema to good psychoanalytic work but later accepted on clinical grounds as highly useful can be reconceptualized in terms of truncation of computational processes with the resultant effect of opening new possibilities (analogously to the way Lorenz’s original truncation of digital displays revealed not only sensitivity to initial conditions but also the landscape of possibilities close to the original predictions. Third the paper looks data collection in psychoanalytic research and the problem of “thin slicing” i.e., how it might be possible to gather highly pertinent data about the overall psychoanalytic process from relatively brief, intensely studied segments of that process, thus eliminating the main impediment to the empirical study of psychoanalysis, the overabundance of data that commonly requires time frames on the order of a decade to provide adequate samples for study by other methods. Finally, it describes how increasingly psychoanalytic practice incorporates ideas from non-linear dynamics systems theory to understand people’s actions in ways that extend the possibilities outlined by Freud and other classical analysts.