Abstract
It is shown explicitly that in classical dynamics of theories with higher derivatives there arises the exponential instability with respect to external dissipative force. For this aim, the equations of motion for the Pais-Uhlenbeck fourth order oscillator with damping are investigated and the corrections to the oscillator frequencies due to the friction force are calculated.
- Received 25 January 2007
DOI:https://doi.org/10.1103/PhysRevD.75.087703
©2007 American Physical Society