摘要: We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition chaos in case of double well dynamical system with nonlinear fractional damping term external excitation. The usual Duffing potential having negative square positive quartic has been generalized one an arbitrary real exponent q > 2. also used power p velocity which enables cover wide range realistic factors: from dry friction ! 0 turbulent resistance phenomena = Using perturbation methods we found critical forcing amplitude µc above may behave chaotically. Our results show that vibrating is less stable for smaller satisfying exponential scaling low. amplit ude as function p. analytical illustrated by numerical simulations using standard tools such Poincare maps maximal Lyapunov exponent. As chosen parameters identified chaotic motion ampl itude µc. Copyright line will be provided publisher
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