Cope the problem

The problem is all too well known. You buy a nice plant, which fits very well, in your vivarium. Then, it starts to grow. After a few months the vivarium is stuffed with this single plant, either because the plant’s leaves occupy the whole tank on their own, or because the leaves are still small, but very numerous
One way to cope with this problem is to rearrange the interior of your vivarium every six months. This would not be wise. A vivarium takes some time to establish and the animals inside take even longer. When you turn the whole thing upside down, it disturbs them a lot, giving a lot of stress they can very well do without.

Think about the consequences before buying plants for your vivarium. If you really want your vivarium to turn in to a green (OK it might be silvery or somewhat purple) jungle and do not care to much about other plants or parts of the interior to be visible, buy Tradescantia, Zebrina or Secretsea. You know the wandering yew and its allies. Ficus repens might do the trick as well. So does the Nephrolepis fern. To be on the safe side and have just a few not to fast growing plants, try these: Ruellia, Episcia, Marcgravia, Peperomia, Geogenanthus. Even these will given the opportunity, on occasion grow like weeds. However, not at all at the speed the tradescantsia’s will develop. You can manage them by a monthly pruning.
It might be even better if you stick to the smaller species. Like Peperomia rotundifolia. This one has round, somewhat lens-formed leaves that hardly exceeds a centimetre in diameter. The leaves are thick and green with some grey lines. The plant readily flowers, but these are just a few yellowish sticks emerging from the plant. The plant can grow into a dense math, on which a larger frog looks terrific (but seems a bit reluctant to sit on in front of a camera.)