Phys. Rev. D 75, 087703 (2007) [3 pages]Instability of classical dynamics in theories with higher derivativesReceived 25 January 2007; published 23 April 2007 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.75.087703
DOI:
10.1103/PhysRevD.75.087703
PACS:
03.50.Kk, 03.70.+k, 11.10.−z
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