Signal amplification and filtering during propagation in a chain of unidirectionnally coupled self-sustained oscillators

This presentation deals with the signal propagation in a chain of self-sustained oscillators coupled unidirectionally having at input sinusoidal and noisy inputs. Different phenomena which appear in the chain include double amplification, chaos and fast filtering phenomenon under certain conditions. Considering a chain with random generation of the natural frequencies of the oscillators, it is found that the disorder reduces the signal amplitude propagating along the chain and induces a coexistence of different dynamical states, namely periodic, quasiperiodic and chaotic states in the chain, which tend to disappear by suitably adjusting the coupling strength. Considering a chirp distribution of frequencies, the signal amplitude is characterized by a parabolic decrease followed by an irregular series of jumps back to a certain value. The obtained results can be applicable in the design of a network of autonomous electrical generators to power micro-mechanical arms for micro-machines.