Extensive and Subextensive Chaos in Globally Coupled Dynamical Systems

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).