Stabilizing control of a hysteresis cellular neural network model

Gregory Agranovich, Elena Litsyn, Angela Slavova

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this paper receptor-based Cellular Nonlinear Network model with hysteresis is considered. Different mathematical models of hysteresis are presented. Dynamics and stability of the CNN model are studied from the point of view of local activity theory. Edge of chaos domain of the parameter space is found for the model. Numerical simulations and discussions about the pattern formation in such model are presented. Continuous feedback control is applied in order to stabilized the system.

Original languageEnglish
Pages (from-to)47-54
Number of pages8
JournalComptes Rendus de L'Academie Bulgare des Sciences
Issue number1
StatePublished - 22 Feb 2010


  • Cellular nonlinear network
  • Continuous feedback control
  • Edge of chaos
  • Hysteresis
  • Receptor based model

ASJC Scopus subject areas

  • General


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