Anticipated syncrhonization with distributed delay

Synchronization is a fundamental phenomenon with applications to biology, engineering, neuroscience and other disciplines. This talk focuses on anticipated synchronization (AS), a form of synchronization in which one system "forecasts" the state of another. Setups showing AS typically involve two identical systems coupled via a delayed interaction. This has been extensively studied for chaotic, excitable, and spatially extended systems, but usually only for fixed delay. In this talk we focus on systems with distributed delay, thus allowing for multiple delayed coupling channels. We analytically study damped harmonic oscillator systems with distributed delay as a test case and validate our findings through numerical simulations. Furthermore, we numerically explore AS in chaotic and excitable nonlinear systems with distributed delay. We observe AS in these systems, even though the anticipation time is not fixed in this case in contrast with the results for fixed delay and for the damped harmonic oscillator with distributed delay.