THE BUTTERFLY EFFECT AND YOU

With reference to chaos theory, the butterfly effect refers to the phenomenon whereby a minute localized change in a complex system can have large effects elsewhere [Dictionary: In chaos theory, the butterfly effect is the sensitive dependence on initial conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state [Wikipedia].

So, since humans are complex deterministic nonlinear systems and we interact with other complex deterministic nonlinear systems, can an action by one of us have profound influences somewhere else? If that is so, does this mean that what each of us does have an impact elsewhere and therefore we are responsible for [the impact] of our actions? I bracketed "the impact" of our actions as even though we are responsible for the impact of our actions we can not know what these impacts will be...we can not [and do not need to] predict the future. However, we are still responsible for our actions and can exert control over these actions in order to improve our lives and the lives of those around us. Now, with some level of awareness that the definition of "those around us" can be expanded significantly to include even a multitude. 

What do you think?