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 Sept 2011 |
Keywords
- mean-field model
- collective chaos
- entropy