The compact sources discovered in recent decades in the Milky Way and neighboring galaxies are considered within the framework of the gravimagnetic rotator paradigm (GMR). GMR is characterized by mass, magnetic field and angular momentum. The rotator interacts with the environment (plasma) through the electromagnetic and gravitational fields. This rotator is a useful theoretical model for neutron stars, white dwarfs, magnetic stars, and spinars (arising immediately after the start of the collapse of double neutron stars or fast-rotating nuclei of massive stars, etc.). The ecology of rotators includes this classification, concerning their interaction with the environment, the definition of evolutionary laws and their energy interpretation. A single universal diagram of known and new types of neutron stars and white dwarfs discovered in recent years (such as ultra-bright X-ray pulsars and radio pulsars of white dwarfs) is presented, in which these objects acquired their physically transparent place in accordance with the laws of electromagnetic and gravitational interaction. The ecology of rotators includes this classification concerning their interaction with the environment, the definition of evolutionary laws, and interpretation of their energy.