### Abstract

We report an investigation of a system of N globally coupled maps able to support multiattractors. For these systems the mean field dynamics is controlled by the number of elements in the initial partition of each basin of attraction. This behavior is in strong contrast with coupled systems of maps with a single attractor, where the mean field dynamics is usually simple for weak couplings. In spite of the increased local complexity, the global dynamics can be reduced to a simple two-dimensional map up to the first bifurcation point of the coexisting attractors.

Original language | English |
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Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 59 |

Issue number | 1 |

Publication status | Published - 1999 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

**Globally coupled multiattractor maps : Mean field dynamics controlled by the number of elements.** / Jánosi, I.; Gallas, Jason A C.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Globally coupled multiattractor maps

T2 - Mean field dynamics controlled by the number of elements

AU - Jánosi, I.

AU - Gallas, Jason A C

PY - 1999

Y1 - 1999

N2 - We report an investigation of a system of N globally coupled maps able to support multiattractors. For these systems the mean field dynamics is controlled by the number of elements in the initial partition of each basin of attraction. This behavior is in strong contrast with coupled systems of maps with a single attractor, where the mean field dynamics is usually simple for weak couplings. In spite of the increased local complexity, the global dynamics can be reduced to a simple two-dimensional map up to the first bifurcation point of the coexisting attractors.

AB - We report an investigation of a system of N globally coupled maps able to support multiattractors. For these systems the mean field dynamics is controlled by the number of elements in the initial partition of each basin of attraction. This behavior is in strong contrast with coupled systems of maps with a single attractor, where the mean field dynamics is usually simple for weak couplings. In spite of the increased local complexity, the global dynamics can be reduced to a simple two-dimensional map up to the first bifurcation point of the coexisting attractors.

UR - http://www.scopus.com/inward/record.url?scp=0346013001&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346013001&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0346013001

VL - 59

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 1

ER -