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)|
|Number of pages||4|
|Journal||Physical Review Letters|
|State||Published - 1984|
ASJC Scopus subject areas
- Physics and Astronomy(all)