Global Bifurcations in a Damped-Driven Diatomic Granular Crystal

Autor:	Pozharskiy, D., Kevrekidis, I. G., Kevrekidis, P. G.
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	We revisit here the dynamics of an engineered dimer granular crystal under an external periodic drive in the presence of dissipation. Earlier findings included a saddle-node bifurcation, whose terminal point initiated the observation of chaos; the system was found to exhibit bistability and potential quasiperiodicity. We now complement these findings by the identification of unstable manifolds of saddle periodic solutions (saddle points of the stroboscopic map) within the system dynamics. We unravel how homoclinic tangles of these manifolds lead to the appearance of a chaotic attractor, upon the apparent period-doubling bifurcations that destroy invariant tori associated with quasiperiodicity. These findings complement the earlier ones, offering more concrete insights into the emergence of chaos within this high-dimensional, experimentally accessible system. Comment: 10 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.19347 Zobrazit plný text záznamu View this record from Arxiv