Abstract
A new emergence mechanism related to the bounded capacity of human cognition is considered. It assumes that individuals (operators) governing the dynamics of a certain system try to follow an optimal strategy in controlling its motion but fail to do this perfectly because similar strategies are indistinguishable for them. The main attention is focused on the systems where the optimal dynamics implies the stability of a certain equilibrium point in the corresponding phase space. In such systems the bounded capacity of human cognition gives rise to some neighborhood of the equilibrium point, the region of dynamical traps, wherein each point is regarded as an equilibrium one by the operators. So when a system enters this region and while it is located in it, maybe for a long time, the operator control is suspended. The present work draws on the results obtained previously as well as new ones and is mainly aimed at elucidating the basic principles in constructing a mathematical formalism describing this human feature. In particular, it is demonstrated that oscillator with dynamical traps can be derived within rather general assumptions about human behavior.
In the present extended description the main attention is focused on the reasons and motives for developing the concept of dynamical traps.
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Acknowledgements
The work was supported in part by the JSPS “Grants-in-Aid for Scientific Research” Program, Grant 245404100001.
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Lubashevsky, I. (2013). Bounded Capacity of Human Cognition as a New Mechanism of Instability in Dynamical Systems. In: Gilbert, T., Kirkilionis, M., Nicolis, G. (eds) Proceedings of the European Conference on Complex Systems 2012. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-00395-5_9
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DOI: https://doi.org/10.1007/978-3-319-00395-5_9
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