ON ASYMPTOTIC-BEHAVIOR IN CASCADED CHAOTICALLY EXCITED NON-LINEAR OSCILLATORS

Because chaotic behavior is structured and, at the same time, possesses elements of uncertainty, chaotic response is viewed as intermediate between regular (harmonic, periodic, quasi-periodic) and truly random behavior. It is speculated that some external excitations which are difficult a priori to model (such as earthquake excitations of structures or certain fluid-structure interaction problems) may actually be chaotic, not random. Thus, the response of systems to chaotic excitations is considered. In this note some (fairly narrowly directed) numerical results of the response of a non-linear oscillator system to chaotic excitation.