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Dynamics of coupled chaotic oscillators on a network are studied usingcoupled maps. Within a broad range of parameter values representing thecoupling strength or the degree of elements, the system repeats formation andsplit of coherent clusters. The distribution of the cluster size follows apower law with the exponent $\alpha$, which changes with the parameter values.The number of positive Lyapunov exponents and their spectra are scaledanomalously with the power of the system size with the exponent $\beta$, whichalso changes with the parameters. The scaling relation $\alpha \sim 2(\beta+1)$ is uncovered, which seems to be universal independent of parameters andnetworks.

Chaotic Griffiths Phase with Anomalous Lyapunov Spectra in Coupled Map Networks