Experiments with arbitrary networks in time-multiplexed delay systems

Abstract

We report a new experimental approach using an optoelectronic feedback loop to investigate the dynamics of oscillators coupled on large complex networks with arbitrary topology. Our implementation is based on a single optoelectronic feedback loop with time delays. We use the space-time interpretation of systems with time delay to create large networks of coupled maps. Others have performed similar experiments using high-pass filters to implement the coupling; this restricts the network topology to the coupling of only a few nearest neighbors. In our experiment, the time delays and coupling are implemented on a field-programmable gate array, allowing the creation of networks with arbitrary coupling topology. This system has many advantages: the network nodes are truly identical, the network is easily reconfigurable, and the network dynamics occur at high speeds. We use this system to study cluster synchronization and chimera states in both small and large networks of different topologies.

References in corpus (5)

• The structure and dynamics of multilayer networks
• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Pinning-controllability of complex networks
• Symmetric States Requiring System Asymmetry
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• Designing temporal networks that synchronize under resource constraints
• Critical Switching in Globally Attractive Chimeras
• Revealing dynamics, communities and criticality from data
• Forget Partitions: Cluster Synchronization in Directed Networks Generate Hierarchies
• Emulating complex networks with a single delay differential equation
• A spatial-photonic Ising machine to solve the two-way number-partitioning problem
• Comment on "Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks"