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In this paper we revisit the issue of determining the oscillating primordialscalar power spectrum and oscillating equation of state of dark energy from theastronomical observations. By performing a global analysis with the MarkovChain Monte Carlo method, we find that the current observations from five-yearWMAP and SDSS-LRG matter power spectrum, as well as the "union" supernovaesample, constrain the oscillating index of primordial spectrum and oscillatingequation of state of dark energy with the amplitude less than $|n_{\rmamp}|<0.116$ and $|w_{\rm amp}|<0.232$ at 95% confidence level, respectively.This result shows that the oscillatory structures on the primordial scalarspectrum and the equation of state of dark energy are still allowed by thecurrent data. Furthermore, we point out that these kinds of modulation effectswill be detectable (or gotten a stronger constraint) in the near futureastronomical observations, such as the PLANCK satellite, LAMOST telescope andthe currently ongoing supernovae projects SNLS.

Testing Oscillating Primordial Spectrum and Oscillating Dark Energy with Astronomical Observations