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Journal article
Periodic attractors of random truncator maps
Physica A, v 382(1)
2007
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Abstract
This paper introduces the
truncator map as a dynamical system on the space of configurations of an interacting particle system. We represent the symbolic dynamics generated by this system as a non-commutative algebra and classify its periodic orbits using properties of endomorphisms of the resulting algebraic structure. A stochastic model is constructed on these endomorphisms, which leads to the classification of the distribution of periodic orbits for random truncator maps. This framework is applied to investigate the periodic transitions of Bornholdt's spin market model.
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Details
- Title
- Periodic attractors of random truncator maps
- Creators
- Ted Theodosopoulos - East Sussex County CouncilRobert Boyer - Drexel University
- Publication Details
- Physica A, v 382(1)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000247993000036
- Scopus ID
- 2-s2.0-34249813994
- Other Identifier
- 991019167739304721
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- Collaboration types
- International collaboration
- Web of Science research areas
- Physics, Multidisciplinary