Homeorhesis, derived from the Greek for "similar flow", is a concept encompassing dynamical systems which return to a trajectory, as opposed to systems which return to a particular state, which is termed homeostasis.
Steady state implies equilibrium which is never reached, nor are organisms and ecosystems in a closed environment.
During his tenure at the State University of New York at Oneonta, Dr William Butts[1] correctly applied the term homeorhesis to biological organisms.
Waddington and first used in biology in his book Strategy of the Genes (1957), where he described the tendency of developing or changing organisms to continue development or adapting to their environment and changing towards a given state.
James Lovelock and Lynn Margulis, coauthors of Gaia hypothesis, wrote in particular that only homeorhetic, and not homeostatic, balances are involved in the theory.