Collective Chaos
- 9 November 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 81 (19) , 4116-4119
- https://doi.org/10.1103/physrevlett.81.4116
Abstract
An algorithm to characterize collective motion as the orbital instability at a macroscopic level is presented, including the introduction of “collective Lyapunov exponent.” By applying the algorithm to a globally coupled map, existence of low-dimensional collective chaos is confirmed, where the scale of (high-dimensional) microscopic chaos is separated from the macroscopic motion, and the scale approaches zero in the thermodynamic limit.Keywords
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