Researchers from IFISC have published an article in the prestigious journal NATURE COMMUNICATIONS this week. Their work «Dynamical properties induced by state-dependent delays in photonic systems» introduces an optical system as prototypical to study the dynamics of state-dependent delay systems.
Time delays naturally arise in many dynamical systems and complex networks in which the propagation time of signals throught feedback loops or coupling connections of individual elements cannot be neglected. These delays have a profound effect on the dynamics and can trigger instabilities leading to oscillatory or chaotic behavior. Things can get even more complicated if the delay time itself is not constant but depends on the state of the system. For instance, this is the case for the production of red blood cells and the operation of mechanical drills in oil-wells. It turns out that the appearance of state-dependent delays might dramatically affect the dynamical evolution of the system. Despite the practical relevance of this effect, experimental realisations and testbeds to systematically study such systems were completely lacking. With their work, the researchers from IFISC aim to fill this gap, introducing and realizing a photonic testbed system.Their modelling and experiments open the door to a whole new family of optical implementations of this class of systems.
Since the photonics implementation can be realized using state-of-the-art telecom components, a rapid development of this field is expected. Besides their fundamental interest, the dynamical properties of this system might be utilised in key exchange and control systems, paving the way to practical applications of state-dependent delay schemes.
Jade Martínez-Llinàs, Xavier Porte, Miguel C. Soriano, Pere Colet e Ingo Fischer from Institute for Cross-Disciplinary Physics and Complex Systems (IFISC).
Jade Martínez-Llinàs, Xavier Porte, Miguel C. Soriano, Pere Colet and Ingo Fischer. (2015, 17 de junio). «Dynamical properties induced by state-dependent delays in photonic systems», Nature Communications 6, Article number: 7425 doi:10.1038/ncomms8425