Toward a synthesis of dynamical systems and classical computation
Frank van der Velde, Marc de Kamps · Behavioral and Brain Sciences · 1998
Cognitive agents are dynamical systems but not quantitative dynamical systems. Quantitative systems are forms of analogue computation, which is physically too unreliable as a basis for cognition. Instead, cognitive agents are dynamical systems that implement discrete forms of computation. Only such a synthesis of discrete computation and dynamical systems can provide the mathematical basis for modeling cognitive behavior.