Roger Cerf

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Studies on extended data including 37 electroencephalographic (EEC) records of delta-sleep, each 10(3) s long (six subjects: up to seven nights per subject, comprising normal sleep, partial deprivation and recovery), confirmed earlier conclusions that rare episodes of low-dimensional dynamic self-organization, with life-times between 10 and 20 s, are(More)
A substantial challenge in epileptology consists of reliable seizure anticipation ahead in time (minutes). We propose a procedure which derives from our demonstrating here that seizure outbreak shares the pretransitional behaviour characterizing nonequilibrium phase transitions with instabilities found in a number of domains. We investigated(More)
This paper addresses the practical problems raised by the fact that correlation integrals computed from electroencephalographic signals do not scale. An automated procedure is described for alpha-waves, which is based on the known method of determining the correlation dimension from scaled structures that appear in diagrams of slope-curves. Automation,(More)
The study of six absence seizures from two patients confirmed the efficacy, in the search for low correlation dimensions, of using scaled-structure analysis, combined with the appropriate checking procedures. The analysis is directed towards characterizing an attractor not only by its correlation dimension, but also by its "quality" and by the probability(More)
Self-organized neuronal dynamics revealed by cortical alpha-rhythms occur as episodes, which are rarely observed without extraction of the alpha-band from the other spectral components. Three episodes of an unusually long duration of 10 s, two with no signal processing after data recording at the clinic, are described and show evidence of low-dimensional(More)
Macroscopic systems with many interacting subunits, when driven far from equilibrium, exhibit self-organization, for example when a pathological rhythm appears suddenly in an epileptic patient. Sudden changes occurring while conditions vary smoothly have, in cases of interest, underlying mathematics that are the subject of Thom's catastrophe theory. The(More)
  • Roger Cerf
  • 2015
We show that a path not yet considered exists in the parameter space of the cusp catastrophe that constitutes a 'target-trajectory,' along which psychological change may be achieved in a variety of situations by taking advantage of the protagonists' resistance. The parameters Pathogen - the pathogenic agent - and Therapy, or Dissent and Remedy, are used(More)
In extending our previous results demonstrating critical fluctuations in electropathophysiological brain activity prior to onset of partial epileptic seizures, we used once again Haken's approach to self-organized complex systems, which resorts to identifying an order parameter. A renormalized density in phase space and a renormalized differential density(More)