Published April 15, 2007 | Version v1
Journal article

Instability of classical dynamics in theories with higher derivatives

  • 1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna (Russian Federation)

Description

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

Additional details

Publishing Information

Journal Title
Physical Review. D, Particles Fields
Journal Volume
75
Journal Issue
8
Journal Page Range
p. 087703-087703.3
ISSN
0556-2821
CODEN
PRVDAQ

INIS

Optional Information

Notes
(c) 2007 The American Physical Society