Adaptive Synchronization and Anticipatory Dynamical System

TL;DR

This paper introduces adaptive oscillators with memory effects that can produce anticipatory responses to periodic stimuli, providing insights into biological systems' timing and neuronal plasticity.

Contribution

It presents a novel adaptive oscillator model that explains anticipatory responses and links it to neuronal synaptic facilitation, advancing understanding of biological timing mechanisms.

Findings

Adaptive oscillators produce well-timed post-stimulus responses.

The model replicates experimental anticipatory behaviors.

Synaptic facilitation models exhibit similar anticipatory dynamics.

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 oscillators can be common in neuronal systems with plasticity.