Experimental evidence for mixed reality states in an interreality system

Vadas Gintautas and Alfred W. Hübler
Phys. Rev. E 75, 057201 – Published 25 May 2007

Abstract

We present experimental data on the limiting behavior of an interreality system comprising a virtual horizontally driven pendulum coupled to its real-world counterpart, where the interaction time scale is much shorter than the time scale of the dynamical system. We present experimental evidence that, if the physical parameters of the simplified virtual system match those of the real system within a certain tolerance, there is a transition from an uncorrelated dual reality state to a mixed reality state of the system in which the motion of the two pendula is highly correlated. The region in parameter space for stable solutions has an Arnold tongue structure for both the experimental data and a numerical simulation. As virtual systems better approximate real ones, even weak coupling in other interreality systems may produce sudden changes to mixed reality states.

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  • Received 25 July 2006

DOI:https://doi.org/10.1103/PhysRevE.75.057201

©2007 American Physical Society

Authors & Affiliations

Vadas Gintautas* and Alfred W. Hübler

  • Center for Complex Systems Research, Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA

  • *Electronic address: vgintau2@uiuc.edu
  • Electronic address: a-hubler@uiuc.edu

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Issue

Vol. 75, Iss. 5 — May 2007

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