Abstract
The role of symmetry is examined in systems displaying period-doubling instabilities. It is found that symmetric orbits will not undergo period doubling except in extraordinary cases. Such exceptional cases cannot occur in a large class of systems, including the sinusoidally driven damped pendulum and the Lorenz equations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 705-708 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 52 |
| Issue number | 9 |
| DOIs | |
| State | Published - 1984 |
ASJC Scopus subject areas
- General Physics and Astronomy