Antonio Politi

Institute for Complex Systems and Mathematical Biology, University of Aberdeen

Chaotic properties of oscillator networks

Networks of oscillators may reveal an extremely rich variety of unusual dynamical properties, at the microscopic as well as at the collective level. I discuss a couple of examples: (I) extensivity of chaos in generic mean-field models, which includes the anomalous case of the Hamiltonian mean field, where a positive exponent survives in the thermodynamic limit, in spite of the seemingly regular (periodic) behaviour; (ii) the onset of collective chaos in globally coupled and sparse networks.
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