Fractals in Chaos

It is now well established that seemingly innocuous dynamical systems, dissipative or not, can produce complicated phase trajectories, and eventually, chaos (see, e. g., [60]). A dynamical system, simply a system that changes its behavior over time, can become chaotic if it is sensitive to dependence on its initial conditions; this renders the system inherently unpredictable (see, e. g., [61]).