David Brin's Out of Time Tiger in Sky (David Brin's Out of Time!)

In the year 2345, humanity's descendents live in a utopia in peril. They reach back through time to the late 20th century for help to save the Earth. Teens from Earth's troubled times have a chance to become true heroes when they are "yanked" out of time. Tough-minded Nan and brainy Jerry have it hard enough in 1999. Then they find themselves yanked into the future to join with "team members" Ailee, from 2234, and Will, from 1579, on a mission to Oort One, a small scientific base on the edge of the solar system. The base is overrun with alien pests that cause mysterious electrical disturbances and threaten the station's very life-support systems. The Thogmags are furry, they're cute, they're no bigger than gerbils, and they're breeding like crazy. They might seem harmless, but with their strange mental effect on humans, they have the power to destroy everything -- even the Earth itself -- unless the team's final desperate plan turns out to be the cat's meow ....
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