title: Adaptive synchronization and anticipatory dynamical systems.
abstract: Many biological systems can sense periodical variations in a stimulus input and produce well-timed, anticipatory responses after the input is removed. Such systems show memory effects for retaining timing information in the stimulus and cannot be understood from traditional synchronization consideration of passive oscillatory systems. To understand this anticipatory phenomena, we consider oscillators built from excitable systems with the addition of an adaptive dynamics. With such systems, well-timed post-stimulus responses similar to those from experiments can be obtained. Furthermore, a well-known model of working memory is shown to possess similar anticipatory dynamics when the adaptive mechanism is identified with synaptic facilitation. The last finding suggests that this type of oscillator can be common in neuronal systems with plasticity.
authors.affiliation: Institute of Physics, Academia Sinica, Taipei, Taiwan 115, Republic of China.|Department of Physics, National Taiwan University, Taipei, Taiwan, Republic of China.
authors.forename: Ying-Jen
authors.initials: YJ
authors.lastname: Yang
authors.affiliation: Institute of Physics, Academia Sinica, Taipei, Taiwan 115, Republic of China.
authors.forename: Chun-Chung
authors.initials: CC
authors.lastname: Chen
authors.affiliation: Institute of Physics, Academia Sinica, Taipei, Taiwan 115, Republic of China.|Department of Physics and Center for Complex Systems, National Central University, Chungli, Taiwan 320, Republic of China.
authors.forename: Pik-Yin
authors.initials: PY
authors.lastname: Lai
authors.affiliation: Institute of Physics, Academia Sinica, Taipei, Taiwan 115, Republic of China.|Department of Physics and Center for Complex Systems, National Central University, Chungli, Taiwan 320, Republic of China.
authors.forename: C K
authors.initials: CK
authors.lastname: Chan
mesh_terms: D008570:Memory, Short-Term / Q000502:physiology; D008954:Models, Biological; D009473:Neuronal Plasticity / Q000502:physiology; D010507:Periodicity