...Yuli Starosvetsky; M. Arif Hasan; Alexander F. Vakakis We report a very interesting phenomenon observed in the dynamics of an array of weakly coupled, uncompressed granular chains subject to localized excitations. Namely, we demonstrate numerically that following the localized excitation of one...

... in calculating the frequency response curves that pitchfork bifurcation can occur followed by “localization phenomenon” for a specific excitation frequency range. During this range, sloshing occurs at different amplitudes in the two tanks, even if the dimensions of both tanks are identical. Furthermore, Hopf...

.... In the numerical results, the differences between the responses in single- and dual-pendulum systems are shown. A pitchfork bifurcation occurs followed by mode localization where both identical pendula vibrate at constant but different amplitudes. Hopf bifurcations occur, and then amplitude- and phase-modulated...