Examine the amount of items plugged into the single outlet. Inspect the back of these devices to determine the average voltage and amperage draw. Compare these findings with the capacity of the breaker controlling the outlet, found molded on the breaker switch in the electrical panel. Remove items as necessary until the amperage closely matches.
Plug in a variac or voltage stabilizer. Plug in each device to the corresponding outlets on the back of the stabilizer. These devices are offered by a variety of manufacturers, and use a large coil to stabilize the voltage at 120 VAC. Use of these devices is common in high-end home theater and audio systems, where keeping appliances and equipment at a steady 120 volts optimizes their performance and lifespan.
Contact a qualified electrician to examine the length and condition of the electrical wiring leading to the troublesome outlet. Have the electrician replace or shorten the line as needed, based on its degree of damage from rodents or abrasion. Allow the electrician to further examine this and other wiring for the presence of aluminum. Voltage fluctuations can be an indicator of a loose connection, potentially becoming a fire hazard.