• DocumentCode
    1858247
  • Title

    Complicated slow oscillations with simple switching dynamics in piecewise linear neuronal model

  • Author

    DOI, Shinji ; Kumagai, Sadatoshi

  • Author_Institution
    Dept. of Electr. Eng., Osaka Univ., Japan
  • Volume
    2
  • fYear
    2004
  • fDate
    25-28 July 2004
  • Abstract
    It is shown that a very simple neuronal model with piecewise linear nonlinearity can produce complicated pattern of oscillations with very long period. Using the so-called slow-fast decomposition analysis of singularly perturbed dynamical systems, the generation mechanism of the complicated slow oscillation is explored.
  • Keywords
    bifurcation; neural nets; nonlinear dynamical systems; oscillations; piecewise linear techniques; singularly perturbed systems; decomposition analysis; oscillation pattern; piecewise linear neuronal model; piecewise linear nonlinearity; slow oscillations; switching dynamics; Bifurcation; Biomembranes; Chaos; Integrated circuit modeling; Neurons; Neuroscience; Nonlinear equations; Piecewise linear approximation; Piecewise linear techniques; Voltage;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium on
  • Print_ISBN
    0-7803-8346-X
  • Type

    conf

  • DOI
    10.1109/MWSCAS.2004.1354232
  • Filename
    1354232
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1858247