Impulse-induced localized nonlinear modes in an electrical lattice

TL;DR

This paper experimentally investigates how the impulse of external harmonic excitations influences the generation of discrete breathers in nonlinear electrical lattices, highlighting optimal control conditions for localized modes.

Contribution

It introduces the concept that impulse transmitted by external excitations can effectively control the formation of discrete breathers in electrical lattices, a novel approach in nonlinear lattice dynamics.

Findings

Impulse transmission optimally controls breather generation.

Variable waveform excitations influence localized mode formation.

Experimental validation of impulse effect in electrical lattices.

Abstract

Intrinsic localized modes, also called discrete breathers, can exist under certain conditions in one-dimensional nonlinear electrical lattices driven by external harmonic excitations. In this work, we have studied experimentally the efectiveness of generic periodic excitations of variable waveform at generating discrete breathers in such lattices. We have found that this generation phenomenon is optimally controlled by the impulse transmitted by the external excitation (time integral over two consecutive zeros