Are there examples of chaotic systems that are predictable and at the same time sensible to initial conditions? or would that violate the notion of sensibility to initial conditions?
Lets imaginge A system that seems to be sensible to initial conditions, behaves chaotically but always end at the same state (not formally proven that all inputs to the system reach the same state). If someone finds a method that predicts what the system will do but is still chaotic, would the representation of sensibility to initial conditions in that system (or any other systems for that matter) be discared then? And are there examples in the literature of this?