Smart bulb that can dim itself independently?

When I travel, often the places I rent, be it a hotel room or an Airbnb, don’t have nice lighting. For that case, I would like to have a compact smart bulb on me that I can program to continuously fade over the course of the day. Stages could be something like:

  • 05:00: cold and dim
  • 08:00: cold and bright
  • 18:00: warm and bright
  • 23:00: warm and dim

It is important that the light bulb can remember the programming and act independently even when it is not connected to any device. Furthermore, the bulb should not forget its program when mains power is cut by means of pressing a light switch.

So it needs a battery and/or a real-time clock.

Does such a thing exist?

I have a Philips Hue White Ambience 1100 here. I know I can control it via bluetooth. But I don’t think it can do what I want.