Coherent and Anticipatory Dynamics in a Random Network with Dynamical Coupling
Ying-Jen Yang1,2*, Chun-Chung Chen1
1Institute of Physics, Academia Sinica, Taipei, Taiwan
2Department of Physics, National Taiwan University, Taipei, Taiwan
* presenting author:Ying-Jen Yang,
Many biological systems can sense periodical changes in stimulus inputs and produce well-timed, anticipatory responses after the stimulus is omitted. An excitable system with suitable adaptation on its excitability is capable of producing similar dynamics. As a network representation of adaptive excitable system, random networks with dynamical coupling produce omitted-stimulus responses driven by noise. These responses are most coherent in proper background noise level and heterogeneity level in coupling numbers. Well-timing omitted-stimulus responses can also be found by adjusting only one parameter. Furthermore, the dynamical range of the omitted-stimulus responses are maximized at the critical point of a first-order phase transition. This model predicts that the mean and variation of timing in omitted-stimulus responses will increase with time after the stimulus ended. And, bigger stimulus period will lead to bigger variation of response timing.

Keywords: Coherence Resonance, Omitted-Stimulus Response, Adaptive synchronization