I argue that in looking at 'language' we are looking at a complex system with interesting internal dynamics, which varies over space and time. Moreover, those variations are not random, but derive from the interaction between the system and external factors, as well as from the interplay among the system’s own internal tendencies. This kind of system is usually referred to as a dynamical system, with the property of being nonlinear if the outputs are not directly proportional to the inputs. More specifically, my work focuses on a particular kind of nonlinear dynamics, that which emerges from an irreconcilable tension between opposing tendencies, a so-called dynamical frustration. For those of us working on this framework, it is our task to identify the opposing tendencies as well as the means for their resolution given finite resources and physical limitations in the case of human cognition from a computational perspective. If there is indeed a dynamical frustration at the core of cognitive processes (and if these processes are computational processes), some very interesting empirical predictions arise, like the existence of cycles and locality phenomena in linguistic computations.
I have been devoting myself to this line of research for the past decade.