Instability of classical dynamics in theories with higher derivatives

V. V. Nesterenko
Phys. Rev. D 75, 087703 – Published 23 April 2007

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

Authors & Affiliations

V. V. Nesterenko*

  • Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia

  • *Electronic address: nestr@theor.jinr.ru

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Issue

Vol. 75, Iss. 8 — 15 April 2007

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