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Published on: March 30, 2017
Period-doubling bifurcation in surface radio-frequency trap: Transition to chaos through Feigenbaum scenario
S S Rudyi1, V V Rybin1, M S Semynin1
1International Research and Educational Centre for Physics of Nanostructures, ITMO University, Kronverksky Prospekt 49, Bldg. A, St. Petersburg 197101, Russia.
Abstract:
We have numerically investigated the dynamics of charged microparticles in a "five-wire" surface radio-frequency trap. The period-doubling bifurcation conditions have been shown to depend on the particle, the trap, and the alternating voltage parameters. For a comprehensive study of the dynamics chaotization through a cascade of period doubling, we have used Fourier analysis of a particle trajectory as well as the calculations of a non-trivial Lyapunov exponent map. We have demonstrated that the period-doubling bifurcation is consistent with a Feigenbaum scenario. A new approach to particle property determination can, thus, be based on observing a period-doubling bifurcation.
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