Single-pulse Chaotic Dynamics in Suspended Cables with Parametric and External Excitations

Abstract

The chief aim of the present work is to investigate the single-pulse chaotic dynamics for suspended cables with principal parametric and primary resonant excitation. Using higherdimensional Melnikov theory, explicit conditions for the existences of single-pulse Silnikov-type homoclinic orbits are obtained, which imply that chaotic motions in the sense of Smale horseshoes may occur for this system. Finally, numerical results are presented to verify these analytical predictions.