Bursting in a Subcritical Hopf Oscillator with a Nonlinear Feedback
| dc.creator | Sethia, Gautam C | |
| dc.creator | Sen, Abhijit | |
| dc.date | 2006-03-24 | |
| dc.date.accessioned | 2026-07-07T07:07:29Z | |
| dc.date.available | 2026-07-07T07:07:29Z | |
| dc.description | Bursting is a periodic transition between a quiescent state and a state of repetitive spiking. The phenomenon is ubiquitous in a variety of neurophysical systems. We numerically study the dynamical properties of a normal form of subcritical Hopf oscillator (at the bifurcation point) subjected to a nonlinear feedback. This dynamical system shows an infinite-period or a saddle-node on a limit cycle (SNLC) bifurcation for certain strengths of the nonlinear feedback. When the feedback is time delayed, the bifurcation scenario changes and the limit cycle terminates through a homoclinic or a saddle separatrix loop (SSL) bifurcation. This system when close to the bifurcation point exhibits various types of bursting phenomenon when subjected to a slow periodic external stimulus of an appropriate strength. The time delay in the feedback enhances the spiking rate i.e. reduces the interspike interval in a burst and also increases the width or the duration of a burst. | |
| dc.description | 10 pages including 7 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0603053 | |
| dc.identifier | http://arxiv.org/abs/nlin/0603053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110406 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Bursting in a Subcritical Hopf Oscillator with a Nonlinear Feedback | |
| dc.type | text |