Non-linear dynamics of the extended Lazer-McKenna bridge oscillation model

摘要

We examine the dynamics of two simple coupled non-linear ordinary differential equations (ODEs) first introduced by Lazer and McKenna (SIAM Review 32(4), 537-578, 1990). Using the numerical continuation package AUTO, We obtain multipe. coexistence of periodic motions, period-doubling sequences and the onset of 'beast' solutions via torus bifurcations. We discuss the implications of These results for the modelling of suspension bridge dynamics.