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Emergence of hysteresis in a network of nonhysteretic agents with continuous responses.

We model the emergence of hysteresis as a collective behavior in a lattice network of individually nonhysteretic agents with continuous responses. The emergence, which depends on the agent's characteristic response to an external input, is optimized at a finite interaction size of the Moore neighborhood. The network also exhibits rich behavior including power-law variations, chaos, and system saturation. Our model is used to describe the hysteresis and high-frequency fluctuations in the oxygen isotope variation ( delta18O) data of ice (Greenland Ice Core Project) that exhibit the Younger Dryas cold event.