Firing map of an almost periodic input function - Publication - Bridge of Knowledge

Search

Firing map of an almost periodic input function

Abstract

In mathematical biology and the theory of electric networks the firing map of an integrate-and-fire system is a notion of importance. In order to prove useful properties of this map authors of previous papers assumed that the stimulus function f of the system ẋ = f(t,x) is continuous and usually periodic in the time variable. In this work we show that the required properties of the firing map for the simplified model ẋ = f(t) still hold if f∈L(1(loc))(R) and f is an almost periodic function. Moreover, in this way we prepare a formal framework for next study of a discrete dynamics of the firing map arising from almost periodic stimulus that gives information on consecutive resets (spikes).

Citations

  • 0

    CrossRef

  • 0

    Web of Science

  • 0

    Scopus

Authors (2)

  • Photo of  Wacław Marzantowicz

    Wacław Marzantowicz

    • Adam Mickiewicz University of Poznań Faculty of Mathematics and Computer Sci.,
  • Photo of dr inż. Justyna Signerska-Rynkowska

    Justyna Signerska-Rynkowska dr inż.

    • olish Academy of Sciences Institute of Mathematics

Cite as

Full text

download paper
downloaded 0 times
Publication version
Accepted or Published Version
DOI:
Digital Object Identifier (open in new tab) 10.3934/proc.2011.2011.1032
License
Creative Commons: CC-BY-NC-ND open in new tab

Keywords

Details

Category:
Other
Type:
supllement, wydanie specjalne, dodatek
Published in:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS no. Special Issue, pages 1032 - 1041,
ISSN: 1078-0947
Language:
English
Publication year:
2011
DOI:
Digital Object Identifier (open in new tab) 10.3934/proc.2011.2011.1032
Verified by:
Gdańsk University of Technology

seen 85 times

Recommended for you

Meta Tags