http://popups.lib.uliege.be/1373-5411/index.php?id=2858 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=3074 We present a single non-cellular finite automaton (FA) model exhibiting intermittency and criticality in a simple self-referential dynamics. Because of the correspondence of non-deterministic and deterministic FA to first and third person description, we can say that the model's dynamics is dialogue with oneself in second person. It gives rise to self-organizing behavior that is intermittent and critical. It is argued that the model is a scientific realization of deconstruction by Jacques Derrida. Fri, 06 Sep 2024 16:06:57 +0200 Tue, 08 Oct 2024 14:45:25 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3074 http://popups.lib.uliege.be/1373-5411/index.php?id=2857 Nonlinear dynamical systems show some different motions such as periodic, chaotic or intermittent ones. On-off intermittency is aperiodic switching motion between laminar phases and burst phases. It is observed in critical points with blowout bifurcation. Occurrence of it is sensitive with respect to parameter shifts in conventional systems. In the present paper, an extended dynamical system with an interaction between a global structure and a local motion is proposed. This interaction means a reciprocal definition between a parameter and state variables. The reciprocal definition is induced from the concept of a generative pointer that suggests an extended subobject classifier. Ubiquitous on-off intermittency is observed for a wide range of parameter values when a generative pointer is applied to a Henon map. This fact implies robustness of on-off intermittency against parameter shifts. Tue, 03 Sep 2024 15:24:24 +0200 Tue, 03 Sep 2024 15:24:31 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2857