Emergence of Complexity from Synchronization and Cooperation

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The dynamical origin of complexity is an object of intense debate and, up to moment of writing this manuscript, no unified approach exists as to how it should be properly addressed. This research work adopts the perspective of complexity as characterized by the emergence of non-Poisson renewal processes. In particular I introduce two new complex system models, namely the two-state stochastic clocks and the integrate-and-fire stochastic neurons, and investigate its coupled dynamics in different network topologies. Based on the foundations of renewal theory, I show how complexity, as manifested by the occurrence of non-exponential distribution of events, emerges from the ... continued below

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Geneston, Elvis L. May 2008.

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This dissertation is part of the collection entitled: UNT Theses and Dissertations and was provided by UNT Libraries to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 276 times . More information about this dissertation can be viewed below.

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  • Geneston, Elvis L.

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Description

The dynamical origin of complexity is an object of intense debate and, up to moment of writing this manuscript, no unified approach exists as to how it should be properly addressed. This research work adopts the perspective of complexity as characterized by the emergence of non-Poisson renewal processes. In particular I introduce two new complex system models, namely the two-state stochastic clocks and the integrate-and-fire stochastic neurons, and investigate its coupled dynamics in different network topologies. Based on the foundations of renewal theory, I show how complexity, as manifested by the occurrence of non-exponential distribution of events, emerges from the interaction of the units of the system. Conclusion is made on the work's applicability to explaining the dynamics of blinking nanocrystals, neuron interaction in the human brain, and synchronization processes in complex networks.

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  • May 2008

Added to The UNT Digital Library

  • Oct. 2, 2008, 4:42 p.m.

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  • Oct. 31, 2008, 4:49 p.m.

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Geneston, Elvis L. Emergence of Complexity from Synchronization and Cooperation, dissertation, May 2008; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc6107/: accessed December 11, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .