Abstract
Chemical oscillators may be coupled together in a variety of ways. Two of the most important forms of coupling are physical (via transport) and chemical (via common species). Such coupling can result in new phenomena. Here we focus on rhythmogenesis, the onset of oscillations when two steady state systems are coupled, and oscillator death, the cessation of oscillations when two oscillatory systems are coupled. We also discuss briefly a biological example, the crustacean stomatogastric ganglion, and the important role of delay, which may be brought on by coupling, in chemical oscillation.