Neural spike renormalization. Part II - Multiversal chaos

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1 Scopus citations

Abstract

Reported here for the first time is a chaotic infinite-dimensional system which contains infinitely many copies of every deterministic and stochastic dynamical system of all finite dimensions. The system is the renormalizing operator of spike maps that was used in a previous paper to show that the first natural number 1 is a universal constant in the generation of metastable and plastic spike-bursts of a class of circuit models of neurons.

Original languageEnglish (US)
Pages (from-to)2958-2968
Number of pages11
JournalJournal of Differential Equations
Volume250
Issue number6
DOIs
StatePublished - Mar 15 2011

Keywords

  • Chaotic dynamical systems
  • Conjugate embedding
  • Dense orbit
  • Periodic orbit
  • Sensitive dependence on initial conditions
  • Spike renormalization operator

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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