ABSTRACT
This chapter discusses one of notions, namely, the fuzzy rationality, which can be regarded as a specific implementation of the bounded capacity of human cognition. It focuses on systems where the optimal dynamics implies the stability of a certain equilibrium point in the corresponding phase space. The chapter provides constructing models for dynamical traps appealing to the basic features caused by the bounded capacity of human cognition and a certain freedom in taking the appropriate actions for governing the corresponding system. It demonstrates that complex cooperative phenomena can emerge in ensembles of many elements due to the dynamical trap effects in their individual behavior. Emergent phenomena are ascribed to the macro level of such a system when its structureless state, that is, its homogeneous equilibrium becomes unstable under certain conditions. Adding just one more oscillator to the system causes the anomalous cooperative phenomena to emerge, particularly, a complex three-dimensional attractor arises in the system phase space.
