| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
|
|
|
|
Frequency Gradient with Respect to Temperature for Determination of Classification of the Phase Response Curve |
| Yasuomi D. Sato** |
Department of Brain Science and Engineering, Graduate School of Life Science and Systems Engineering, Kyushu Institute of Technology, 2-4, Hibikino, Wakamatsu, Kitakyushu, 808-0196, Japan Frankfurt Institute for Advanced Studies (FIAS), Johann Wolfgang Goethe University, Ruth-Moufang-Str.1, D60438, Frankfurt am Main, Germany
|
|
| Cite this article: |
|
Yasuomi D. Sato 2013 Chin. Phys. Lett. 30 128201 |
|
|
|
|
Abstract The interesting task here is to study the frequency-current (f–I) curve and phase response curve (PRC), subject to neural temperature variations, because the f–I curve and PRC are important measurements to understand dynamical mechanisms of generation of neural oscillations, and the neural temperature is widely known to significantly affect the oscillations. Nevertheless, little is discussed about how the temperature affects the f–I curve and PRC. In this study, frequencies of the neural oscillations, modulated with the temperature variations, are quantified with an average of the PRC. The frequency gradient with respect to temperature derived here gives clear classifications of the PRC, regardless of the form. It is also indicated that frequency decreases with an increase in temperature, resulted from bifurcation switching of the saddle-homoclinic to the saddle-node on an invariant circle.
|
|
|
Received: 01 August 2013
Published: 13 December 2013
|
|
| PACS: |
82.40.Bj
|
(Oscillations, chaos, and bifurcations)
|
| |
87.19.L-
|
(Neuroscience)
|
| |
04.25.Nx
|
(Post-Newtonian approximation; perturbation theory; related Approximations)
|
|
|
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
