Extensive and Subextensive Chaos in Globally Coupled Dynamical Systems
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 ${\ensuremath{\lambda}}_{0}$ given by a single unit forced by the mean …