Orbit quantization in a retarded potential
Álvaro García López (URJC)
Abstract: The dynamics of a damped harmonic oscillator in the presence of a retarded potential with state-dependent time-delayed feedback. In the limit of small time-delays, we show that the oscillator is equivalent to a Liénard system. This allows us to analytically predict the value of the first Hopf bifurcation, unleashing zero-point fluctuations. We compute bifurcation diagrams for several model parameter values and analyse multistable domains in detail. Using the Lyapunov energy function, two well-resolved energy levels represented by two coexisting stable limit cycles are discerned. Further exploration of the parameter space reveals the existence of a superposition limit cycle, encompassing two degenerate coexisting limit cycles at the fundamental energy level. Some remarks in comparison with silicone oil droplet models are made.
mathematical physicsgeneral physicsquantum physics
Audience: researchers in the topic
QM Foundations & Nature of Time seminar
Series comments: Description: Physics foundations discussion seminar
Current access link in th.if.uj.edu.pl/~dudaj/QMFNoT
| Organizer: | Jarek Duda* |
| *contact for this listing |