Summary: Better to think of constancy than activation; and of separation rather than distribution.
The idea of a "movement dying out" is shown due to the fact that a common region of
constancy is a resting region.
Summary: An improvement on the theorem about what is necessary in a multistable system.
Summary: For independence test, we must find ∑ρ=1..n-1[f]ρ. The old method of Limρ→∞[f]ρ is rejected. See 2054
Summary: It is decided that a 1st Jacobian matrix (J.M.) cannot be accepted as physically real
unless, for each i, not all aii , aiσ aσi , ... are zero. This is necessary and sufficient that the 2nd J.M. has all main-diagonal
elements non-zero and this is the simplest test for it. It follows that a more correct
form of the relation is ∑1..n[f]ρ=[F], the sum including the n-th power. This last power adds any missing diagonal terms.
Summary: A clarification of interaction where one reaction uses another. "Dominance" is really
a negative concept. Ultrastability is not enough, we must have multistability. A "helping"
B, and B "using" A are really the same thing.
Summary: More extended tests of the chance of stability. Oddments : Effect on equilibrium of fixing a variablle, 1808. Numerical test of proportion which become unstable, 1995.
Summary: Empirical study of the effect of fixing variables in stable systems.
Summary: Multistable system defined in new form. Theorem in modern form proves possibility
of adaptation by parts.
Summary: A very crude estimate of the chance, in a multistable system, of getting an adaptation
without upsetting previously established adaptations. It suggests the great importance
of low activations and the gross disturbance which might follow even a small increase
in it. 5416 The Multistable System : Marked effect on multistable system of a small change in level of activation, 2002.
Summary: Standard symbols: General mathematical, complete systems, and for general repeated
use. Symbols standardised
Summary: Modern proof of the basic theorem of the multistable system.
Summary: Elementary rigorous properties of the multistable system, and of part-functions. Summary: When bounds in a multistable system are altering, a line's chance of destruction is
proportional to the number of variables it activates, and therefore also to its length.
(See next note) The Multistable System : In a multistable system with bounds changing at random, a line's endurance is inversley
proportional to its length, 2011.
Summary: In a multistable system, with bounds changing at random, shorter lines have greater
survival. Under parameter change, resting states have maximal endurance if they coalesce.
Hence Habituation. (See below)
Summary: A number of interesting points from Richardson's book.
Summary: The various "constancies" of the body, so carefully maintained (homeostasis), are
also separations and independencies. This needs further investigation. (See 2314) Homeostat design Isomorphism making machine Natural Selection : Homeostasis = constancy = independence, why the latter? 2181. Answered 2314, to preserve the gene pattern.
Oddments : New-born turtle going to the sea as example of a reaction which looks complex but
is simple, 2018. Masserman also, 2046. Morgan's examples, 2184. Oddments : Example of non-adaptive organisation, 2184. (Amblystoma's limb walking backwards).
Summary: Look out for linkages in experimental dynamic systems. There are often much closer
linkages in the structure of the experiment than seems at first sight. Several parameter
often turn out to be one parameter.