Near the end of LoggingListener.m in receiveMuseConnectionPacket there is a line that will try to reconnect to the Muse if the connection state is IXNConnectionStateDisconnected.
This starts an asynchronous connection request to the Muse. If the connection request fails for any reason, the state will return to IXNConnectionStateDisconnected, triggering another reconnect.
Commenting out that line will stop the reconnect loop.
I am not sure why the Muse would have disconnected initially though. If the battery is low, then that may have been the cause. Try fully charging it and see if the behaviour persists.
If that doesn’t help you could also try a factory reset on the Muse. To do that, hold the power button down for about 20-25 seconds. You will see the lights flash and then the Muse will power off. After the reset, you may need to forget the device and pair it with your iOS device again.
Hope that helps.