More than anything, I think this study of the double well oscillator has shown that much more work must be done to fully understand this system. There is a lot of things hidden in this equation. If we have enough time, a lot of things could be done. For example the study of the initial conditions sensitivity or the plot of the bifurcation diagrams...etc
However, this study was very profitable because it allowed us to discover
the complexity and the rich behavior of the dynamic systems and also to
work with Matlab.