### Abstract

Using a combination of analytical and numerical techniques, we show that chaos in globally coupled identical dynamical systems, whether dissipative or Hamiltonian, is both extensive and subextensive: their spectrum of Lyapunov exponents is asymptotically flat (thus extensive) at the value lambda(0) given by a single unit forced by the mean field, but sandwiched between subextensive bands containing typically O(logN) exponents whose values vary as lambda similar or equal to lambda(infinity) + c/logN with lambda(infinity) not equal lambda(0).

Original language | English |
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Article number | 124101 |

Number of pages | 5 |

Journal | Physical Review Letters |

Volume | 107 |

Issue number | 12 |

DOIs | |

Publication status | Published - 13 Sep 2011 |

### Keywords

- mean-field model
- collective chaos
- entropy

## Cite this

Takeuchi, K. A., Chate, H., Ginelli, F., Politi, A., & Torcini, A. (2011). Extensive and subextensive chaos in globally coupled dynamical systems.

*Physical Review Letters*,*107*(12), [124101]. https://doi.org/10.1103/PhysRevLett.107.124101