  We report in this paper a complete analytical study on the bifurcations and
chaotic phenomena observed in certain second-order, non-autonomous, dissipative
chaotic systems. One-parameter bifurcation diagrams obtained from the
analytical solutions proving the numerically observed chaotic phenomena such as
antimonotonicity, period-doubling sequences, Feignbaum remerging have been
presented. Further, the analytical solutions are used to obtain the basins of
attraction, phase-portraits and Poincare maps for different chaotic systems.
Experimentally observed chaotic attractors in some of the systems are presented
to confirm the analytical results. The bifurcations and chaotic phenomena
studied through explicit analytical solutions is reported in the literature for
the first time.
