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On the instability of classical dynamics in theories with higher derivatives

V. V. Nesterenko
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Abstract

The development of instability in the dynamics of theories with higher derivatives is traced in detail in the framework of the Pais-Uhlenbeck fourth oder oscillator. For this aim the external friction force is introduced in the model and the relevant solutions to equations of motion are investigated. As a result, the physical implication of the energy unboundness from below in theories under consideration is revealed.

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V. V. Nesterenko. 2007-01-09. On the instability of classical dynamics in theories with higher derivatives. https://doi.org/10.1103/physrevd.75.087703

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