Path: utzoo!attcan!utgpu!jarvis.csri.toronto.edu!rutgers!cs.utexas.edu!uunet!garfield!leif!andrew From: andrew@kean.mun.ca Newsgroups: sci.electronics Subject: Re: Re: Touching a "hot" connector Message-ID: <10897@kean.mun.ca> Date: 10 Aug 89 16:09:09 GMT References: <427@edai.ed.ac.uk> <880007@hpmtlx.HP.COM> <31069@coherent.com> Organization: Computing Services, Memorial University Lines: 26 In article <31069@coherent.com>, dplatt@coherent.com (Dave Platt) writes: > If you draw up a three-dimensional graph (X = starting phase, Y = > current applied, Z = resulting phase), you'll find that there is an > inescapable singularity in the Z-axis values... this is a topological > necessity. In effect, for one certain X (starting phase) and one > certain Y (current), the resulting phase is indeterminate. > > This phenomenon exists in many sort of perturbable phase oscillators > (circadian rhythms, etc.). Different systems display the singularity in > different ways. In some systems, the singularity is a repelling > point... the system "slides" back into stable behavior at some > unpredictable point in its cycle. In other systems, the singularity is > an attracting point... the oscillator "hangs up" and begins exhibiting > nonregular behavior. The heartbeat-cycle is of the latter sort; if the > oscillator is disrupted, the heart fibrillates. Of course. 'Tis Chaos (or Nonlinear Dynamics for you stickywigs). I remember reading that one of the first uses of chaos research in biology was to make mosquitos insomniac by using flashes of light to turn their internal sleep/wake clocks into chaotic behavior. -Andrew.