Dynamics of Cyclic Feedback Systems

Autores

  • T. Gedeon Montana State University
  • K. Mischaikow School of Mathematics Georgia. Institute of Technology Center for Dynamical Systems and Nonlinear Studies

DOI:

https://doi.org/10.11606/resimeusp.v1i4.74677

Palavras-chave:

cyclic feedback, Conley index

Resumo

The dynamics of cyclic feedback systems are described. The emphasis is both in showing the diversity of possible dynamics in these sytems and in showing that there is a underlying dynamic structure possessed by all these systems. In particular. for the special class of monotone cyclic feedback systems. the dynamics is fairly simple; the recurrent sets can only consist of fixed points or periodic orbits and in many cases can be shown to be Morse-Smale. This is contrasted with the general cyclic feedback systems for which chaotic dynamics can occur.

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Publicado

1994-05-01

Edição

v. 1 n. 4 (1994)

Seção

Contents

Licença

Copyright (c) 1994 T. Gedeon, K. Mischaikow

Creative Commons License

Este trabalho está licenciado sob uma licença Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Como Citar

Dynamics of Cyclic Feedback Systems. (1994). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 1(4), 495-515. https://doi.org/10.11606/resimeusp.v1i4.74677