Abstract
The effect of additive noise on the Bonhoeffer-van der Pol (BvP) model is studied. For this purpose the authors developed a numerical algorithm to solve the pertinent 2-dim. Fokker-Planck equation. The results demonstrate that the global behavior of the system is determined by certain lines toward which the distribution function is attracted. Those lines are also the seeds for the limit cycle in the deterministic system. The noisy BvP model exhibits a limit cycle (oscillations) even when the deterministic system does not. This behavior may explain the firing patterns of neurons.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 710-718 |
| Number of pages | 9 |
| Journal | Berichte der Bunsengesellschaft/Physical Chemistry Chemical Physics |
| Volume | 89 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 1 1985 |
| Externally published | Yes |
| Event | Dyn Organ Syst, Discuss Meet of the Dtsch Bunsenges fuer Phys Chem - Duration: Oct 15 1984 → Oct 17 1984 |
ASJC Scopus subject areas
- General Chemical Engineering