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SUMMARY:Álvaro García López (URJC)
DTSTART:20230527T140000Z
DTEND:20230527T160000Z
DTSTAMP:20260423T011101Z
UID:QMFNoT/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QMFNoT/47/">
 Orbit quantization in a retarded potential</a>\nby Álvaro García López 
 (URJC) as part of QM Foundations & Nature of Time seminar\n\n\nAbstract\nT
 he dynamics of a damped harmonic oscillator in the presence of a retarded 
 potential with state-dependent time-delayed feedback. In the limit of smal
 l time-delays\, we show that the oscillator is equivalent to a Liénard sy
 stem. This allows us to analytically predict the value of the first Hopf b
 ifurcation\, unleashing zero-point fluctuations. We compute bifurcation di
 agrams for several model parameter values and analyse multistable domains 
 in detail. Using the Lyapunov energy function\, two well-resolved energy l
 evels represented by two coexisting stable limit cycles are discerned. Fur
 ther exploration of the parameter space reveals the existence of a superpo
 sition limit cycle\, encompassing two degenerate coexisting limit cycles a
 t the fundamental energy level. Some remarks in comparison with silicone o
 il droplet models are made.\n
LOCATION:https://researchseminars.org/talk/QMFNoT/47/
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