On the Perfect Delay Convention or the Revolt of the Slaved Variables

  • Marc Diener
  • Tim Poston
Part of the Springer Series in Synergetics book series (SSSYN, volume 11)

Abstract

Suppose we have a family of “potential” functions φλ:IRn→ IR, evolving with λ (=time/varying load on a system/temperature/magnetic field/…) and that for any fixed φ the state x = (x,…, xn)ɛIRntends to “occupy” a minimum of φ (More exactly, for most such systems, the difference of x and some x0at which φ has a minimum dies away exponentially.) The set of minima of φλvaries with λ in ways discussed in elastic stability theory [TH], thermodynamies [C],economics [B], laser dynamics [Ha],etc. - choosing a merely representative reference in each case - and most generally in catastrophe theory [Th,Z,PS]. How does x vary in consequence?

Keywords

Manifold Nite Toll Dioxin Fami 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • Marc Diener
    • 1
  • Tim Poston
    • 2
  1. 1.Dépt. de MathématiquesUniversité d’OranAlgeria
  2. 2.Institut für Theoretische PhysikUniversität StuttgartStuttgartFed. Rep. of Germany

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