Modulation effect with global ambiguity in 2-dimensional random walk

Tomoko Sakiyama, Yukio Pegio Gunji

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Here, we developed 2-dimensional multi agent random walk algorithm. In our algorithm, agents interact with each other and change their directional rules by detecting other agents' moving direction locally. In addition to that, modulation effects in which agents control rule intervals depending on amount of local other agents are equipped to our model. We show that modulation effects which introduce global ambiguity play a crucial role to establish optimal random walk by checking the slope value (μ) depending on dense of agents. We set modulation-added model and non-modulation model. The latter is control model. In case of non-modulation model, the slope values (μ) highly depends on dense of agents. However, in case of modulation-added model, the slope values (μ) are flexible and independent from dense of agents.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
EditorsTheodore E. Simos, Theodore E. Simos, Charalambos Tsitouras, Theodore E. Simos
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735412873
DOIs
Publication statusPublished - Mar 10 2015
EventInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
Duration: Sep 22 2014Sep 28 2014

Publication series

NameAIP Conference Proceedings
Volume1648
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
CountryGreece
CityRhodes
Period9/22/149/28/14

Keywords

  • Interaction
  • Lévy-walk
  • Multi-agent model
  • Power-law
  • Random Walk

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

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  • Cite this

    Sakiyama, T., & Gunji, Y. P. (2015). Modulation effect with global ambiguity in 2-dimensional random walk. In T. E. Simos, T. E. Simos, C. Tsitouras, & T. E. Simos (Eds.), Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 [580010] (AIP Conference Proceedings; Vol. 1648). American Institute of Physics Inc.. https://doi.org/10.1063/1.4912818