Many world leaders declined to attend the parade, which showcased China's latest weapons, though President Xi Jinping said it highlighted peace.
An image of a child, apparently a Syrian refugee who drowned trying to reach Greece, has prompted anger on social media.
Refugees aspiring to seek asylum in countries like Germany have camped out in front of Budapest's Keleti train station since Tuesday.
The move comes as President Xi Jinping is attempting to remake China's armed forces, with less of an emphasis on personnel and more on technology.
The 38-year-old man had allegedly contacted Wanna Suansan, the only female suspect in the blast investigation.
Otto Perez Molina's administration has been mired in public protests over corruption allegations this year.
The ships' deployment, as President Barack Obama visits the state, could be a message to Washington ahead of Chinese President Xi Jinping's visit to the U.S. later this month.
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