Nonlinear oscillations, transition to chaos and escape in the Duffing system with non-classical damping

摘要: The nonlinear dynamics of a single-degree-of-freedom oscillator with an external excitation and complex non-viscous damping is examined. nature the damper introduces hidden variable to set equations motion. We examine oscillations, bifurcations escape from potential well in that system. shape resonance curve obtained by multiple time scales method it confirmed numerically. By treating effects as perturbations we found heteroclinic orbits connecting saddle points Hamiltonian estimate range system parameters leading chaotic behaviour means Melnikov method. This result also numerical simulations. mechanism analyzed mean charts basins attraction.