FUZZY MODELING AND CONTROL OF CHAOTIC SYSTEMS Chaotic behavior is a seemingly random behavior of a deterministic system that is characterized by sensitive dependence on initial conditions. Chaotic behavior of a physical system can either be desirable or undesirable, depending on the application. It can be beneficial in many circumstances, such as enhanced mixing of chemical reactants. Chaos can, on the other hand, entail large-amplitude motions and oscillations that might lead to system failure.