Abstract
A simple geometrical explanation is given for the 'period-adding' phenomenon observed in the 1927 experiment of van der Pol and van der Mark and refined recently by M.P. Kennedy and L.O. Chua. The problem is reduced to a simple circle map. Some previous results are outlined to show how the same phenomenon arises in a class of van der Pol-type system with periodic forcing, and in conclusion some recent topological results are applied to such systems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 943-955 |
| Number of pages | 13 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 50 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1990 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics