as colorex suggested, i think is the esc timing too; try to set them as HIGH or see if you can update the firmware to the simonk firmware ...
edit:
I found specs from Dlux ESC:
Default factory settings.
Brake: off
Battery: LiPo Auto Detect
Low Voltage: 3.2v (power down motor)
Timing: Auto
Frequency: 8KHz
maybe you are getting some voltage SAG on the battery when you accelerate too quick ?? Lower than 3.2V and power down feature assumes ?
On my ESCs, I programmed it for Nimh batteries so I NEVER get low voltage cutoff from them; i use a external beeper for low voltage. when it beeps, its time to land