Fixed points of two-dimensional maps obtained under rapid stimulations

A. Rabinovitch; M. Friedman

doi:10.1016/j.physleta.2006.02.059

Fixed points of two-dimensional maps obtained under rapid stimulations

A. Rabinovitch, M. Friedman

Department of Physics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Two-dimensional maps for the FitzHugh systems, both for the excitable and the limit cycle regimes, are analyzed in phase space and their stable fixed points are calculated. The asymptotic shapes of the solutions are analytically approximated. It is shown that for high stimulation rates the one-dimensional phase- or time-resetting maps are inadequate.

Original language	English
Pages (from-to)	319-325
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	355
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physleta.2006.02.059
State	Published - 10 Jul 2006

ASJC Scopus subject areas

Physics and Astronomy (all)

Access to Document

10.1016/j.physleta.2006.02.059

Cite this

@article{d0d53444337a436f8f53b9f7a89a0317,

title = "Fixed points of two-dimensional maps obtained under rapid stimulations",

abstract = "Two-dimensional maps for the FitzHugh systems, both for the excitable and the limit cycle regimes, are analyzed in phase space and their stable fixed points are calculated. The asymptotic shapes of the solutions are analytically approximated. It is shown that for high stimulation rates the one-dimensional phase- or time-resetting maps are inadequate.",

author = "A. Rabinovitch and M. Friedman",

year = "2006",

month = jul,

day = "10",

doi = "10.1016/j.physleta.2006.02.059",

language = "English",

volume = "355",

pages = "319--325",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier",

number = "4-5",

}

TY - JOUR

T1 - Fixed points of two-dimensional maps obtained under rapid stimulations

AU - Rabinovitch, A.

AU - Friedman, M.

PY - 2006/7/10

Y1 - 2006/7/10

N2 - Two-dimensional maps for the FitzHugh systems, both for the excitable and the limit cycle regimes, are analyzed in phase space and their stable fixed points are calculated. The asymptotic shapes of the solutions are analytically approximated. It is shown that for high stimulation rates the one-dimensional phase- or time-resetting maps are inadequate.

AB - Two-dimensional maps for the FitzHugh systems, both for the excitable and the limit cycle regimes, are analyzed in phase space and their stable fixed points are calculated. The asymptotic shapes of the solutions are analytically approximated. It is shown that for high stimulation rates the one-dimensional phase- or time-resetting maps are inadequate.

UR - http://www.scopus.com/inward/record.url?scp=33646864549&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2006.02.059

DO - 10.1016/j.physleta.2006.02.059

M3 - Article

AN - SCOPUS:33646864549

SN - 0375-9601

VL - 355

SP - 319

EP - 325

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-5

ER -

Fixed points of two-dimensional maps obtained under rapid stimulations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this