PSYCHOTHERAPY AS A CHAOTIC PROCESS .2. THE APPLICATION OF NONLINEAR-ANALYSIS METHODS ON QUASI TIME-SERIES OF THE CLIENT-THERAPIST INTERACTION - A NONSTATIONARY APPROACH
Zj. Kowalik et al., PSYCHOTHERAPY AS A CHAOTIC PROCESS .2. THE APPLICATION OF NONLINEAR-ANALYSIS METHODS ON QUASI TIME-SERIES OF THE CLIENT-THERAPIST INTERACTION - A NONSTATIONARY APPROACH, Psychotherapy research, 7(3), 1997, pp. 197-218
Quasi time series obtained by the method of ''Sequential Plan Analysis
'' are analyzed. These time series represent the dynamics of behavior
exhibited by a client and therapist during 13 sessions of solution-ori
ented psychotherapy. Nonlinear methods assume that dynamic attractors
remain stable during the measurement of the investigated process. This
stationarity assumption may not be justified between and within thera
py sessions. It may be more realistic to expect dynamical changes in t
he form of phase-transition-like phenomena during the therapeutic proc
ess. Here, we applied to our data measures which do not assume station
arity of the underlying dynamics. These measures (the pointwise PD2 al
gorithm, entropy rates, and chaoticity measure based on local Lyapunov
Exponents) are explained. The results, especially those obtained from
calculation of local Lyapunov Exponents, suggested that critical tran
sitions occur within the therapeutic process. The implications and con
sequences for theory, research, and the practice of psychotherapy are
outlined.