Extensive and subextensive chaos in globally coupled dynamical systems

Kazumasa A. Takeuchi, Hugues Chate, Francesco Ginelli, Antonio Politi, Alessandro Torcini

Research output: Contribution to journalArticle

24 Citations (Scopus)

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 languageEnglish
Article number124101
Number of pages5
JournalPhysical Review Letters
Volume107
Issue number12
DOIs
Publication statusPublished - 13 Sep 2011

Keywords

  • mean-field model
  • collective chaos
  • entropy

Cite this

Extensive and subextensive chaos in globally coupled dynamical systems. / Takeuchi, Kazumasa A.; Chate, Hugues; Ginelli, Francesco; Politi, Antonio; Torcini, Alessandro.

In: Physical Review Letters, Vol. 107, No. 12, 124101, 13.09.2011.

Research output: Contribution to journalArticle

Takeuchi, Kazumasa A. ; Chate, Hugues ; Ginelli, Francesco ; Politi, Antonio ; Torcini, Alessandro. / Extensive and subextensive chaos in globally coupled dynamical systems. In: Physical Review Letters. 2011 ; Vol. 107, No. 12.
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