Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers
arXiv:1909.01832 · doi:10.1103/PhysRevE.101.052208
Abstract
Low dimensional dynamics of large networks is the focus of many theoretical works, but controlled laboratory experiments are comparatively very few. Here, we discuss experimental observations on a mean-field coupled network of hundreds of semiconductor lasers, which collectively display effectively low-dimensional mixed mode oscillations and chaotic spiking typical of slow-fast systems. We demonstrate that such a reduced dimensionality originates from the slow-fast nature of the system and of the existence of a critical manifold of the network where most of the dynamics takes place. Experimental measurement of the bifurcation parameter for different network sizes corroborate the theory.
References in corpus (11)
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Long Time Evolution of Phase Oscillator Systems
- Macroscopic description for networks of spiking neurons
- Physics of the rhythmic applause
- Hysteretic transitions in the Kuramoto model with inertia
- Topological solitons as addressable phase bits in a driven laser
- Controlling synchronization in large laser networks using number theory
- Desynchronized stable states in diluted neural networks
- Desynchronization in diluted neural networks
- From quasiperiodic partial synchronization to collective chaos in populations of inhibitory neurons with delay
- Resonator neuron and triggering multipulse excitability in laser with injected signal