Transient chaotic behaviour in a nonlinear dynamical system
Résumé
In this paper we consider two coupled oscillators exhibiting both transient chaos and energy transfer from a master linear degree of freedom to a slave nonlinear energy sink. The Melnikov integral is endowed in order to study the possibility of existence of chaos and transversal homoclinic orbits and their control in a dynamical system. Then, the complexification method as an alternative to nonlinear normal modes is implemented to reveal the behavior of the system during the energy exchange between two oscillators.