Normal form computation of nonlinear dispersion relationship for locally resonant metamaterial

Key Points

• The nonlinear dispersion relationship reveals insights into wave propagation in metamaterials, enhancing control over wave behavior.
• Key evidence includes the analysis of how local resonance affects the dispersion characteristics significantly, influencing practical applications.
• Using modal analysis, the study computes the normal form, enabling a clearer understanding of the underlying physics of metamaterials.
• This enhanced understanding supports the development of advanced materials for applications in wave management and acoustic devices.