Yeah, I think this is one of those that goes deciduous. Cut back on the water. Wait until the leaves dry up, then remove them. You want to remove them because of how you're going to store the cane.

This is how you're going to do it.

1. Keep it in a humid container.

2. Whatever the cane is on, it's gotta be dry. It cannot be wet or it will develop spots where it rots.

3. Make sure the container's got some holes in it. Don't make too many. The holes should be small. If you can get a hand drill, use one of the smaller drill bits (not the smallest one, but fairly small - sorry, I don't know the actual size because they are not marked or I'd tell you the size, maybe 1 mm).

4. Keep it in a place with decent light. Do not keep it in a dark place. Let the cane photosynthesize.

When it "wakes" up again, you should see multiple shoots coming out where the nodes are.

This is what I've found you can do, and this works with some of the terrestrials with root tuberoids (the ones that look like potatoes).

Place the cane on top of dry moss inside a small clear container with a few small holes drilled into it, then spray once or twice with water. Do not spray until the moss is damp - it must be dry. Close the lid. Put it in a place with bright shade. Observe the plant. Do not forget about it. You will want to periodically check on it to see if there is anything wrong.

Don't let the chickens or the dogs get to them.