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- Aerts, D., Czachor, M., Gabora, L., Kuna, M., Posiewnik, A., Pykacz, J. and Syty, M. (2003). Quantum morphogenesis: A variation Thom's catastrophe theory,
Physical Review E,67, 051926. Archive reference and link: http://uk.arxiv.org/abs/quant-ph/0211105.

Abstract:Noncommutative propositions are characteristic of both quantum and nonquantum (sociological, biological, psychological) situations. In a Hilbert space model states, understood as correlations between all the possible propositions, are represented by density matrices. If systems in question interact via feedback with environment their dynamics is nonlinear. Nonlinear evolutions of density matrices lead to phenomena of morphogenesis which may occur in noncommutative systems. Several explicit exactly solvable models are presented, including 'birth and death of an organism' and 'development of complementary properties'.- Gershenson, C., Broekaert, J. and Aerts, D. (2003). Contextual random boolean networks.
Advances in Artificial Life. Lecture Notes in Artificial Intelligence,2801, pp. 615-624. Archive reference and link: nlin.AO/0303021.

Abstract:We propose the use of Deterministic Generalized Asynchronous Random Boolean Networks as models of contextual deterministic discrete dynamical systems. We show that changes in the context have drastic effects on the global properties of the same networks, namely the average number of attractors and the average percentage of states in attractors. We introduce the situation where we lack knowledge on the context as a more realistic model for contextual dynamical systems. We notice that this makes the network non-deterministic in a specific way, namely introducing a non-Kolmogorovian quantum-like structure for the modelling of the network. In this case, for example, a state of the network has the potentiality (probability) of collapsing into different attractors, depending on the specific form of lack of knowledge on the context.

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