Abstract
A method for the spectral analysis of the spatial modes of a 1D array of Chua's circuits is proposed. The analysis is based on two steps: (a) the state is represented in terms of a set of spatial eigenfunctions; (b) a set of nonlinear differential equations involving the coefficients of the eigenfunctions is derived; this set is completely equivalent to the original set of equations describing the circuit array. The spectral analysis allows us to explain some spatio-temporal dynamic phenomena occurring in arrays of Chua's circuits. The technique can be extended to more complex 1D arrays and to 2D arrays of nonlinear cells.
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