Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics

Abstract

We experimentally observe the nonlinear dynamics of an optoelectronic time-delayed feedback loop designed for chaotic communication using commercial fiber optic links, and we simulate the system using delay differential equations. We show that synchronization of a numerical model to experimental measurements provides a new way to assimilate data and forecast the future of this time-delayed high-dimensional system. For this system, which has a feedback time delay of 22 ns, we show that one can predict the time series for up to several delay periods, when the dynamics is about 15 dimensional.

10 pages, 4 figures

References in corpus (4)

• Identifying and modelling delay feedback systems
• Public Channel Cryptography: Chaos Synchronization and Hilbert's Tenth Problem
• Synchronization of mutually coupled chaotic lasers in the presence of a shutter
• Hopf bifurcations in time-delay systems with band-limited feedback

Cited by in corpus (11)

• Tutorial: Photonic Neural Networks in Delay Systems
• Complex Dynamics and Synchronization of Delayed-Feedback Nonlinear Oscillators
• Robustness of Optimal Synchronization in Real Networks
• Signal prediction by anticipatory relaxation dynamics
• Adaptive synchronization of coupled chaotic oscillators
• Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing
• Using synchronization of chaos to identify the dynamics of unknown systems
• Dynamic synchronization of a time-evolving optical network of chaotic oscillators
• Synchronizing spatio-temporal chaos with imperfect models: a stochastic surface growth picture
• Effect of discrete time observations on synchronization in Chua model and applications to data assimilation
• Fundamental solitons in discrete lattices with a delayed nonlinear response