Abstract

The equations of motion for a chain of six particles with fixed ends (a 4+2 chain), interacting via nearest-neighbor linear and cubic forces, have been numerically integrated for the case of odd-mode excitations. Positive Lyapunov exponents are seen for sufficiently large anharmonic forces. However, no corresponding stochastic Poincar\'e surface of section intersections or broadband power spectra are observed. These latter chaotic phenomena may in this case be at a level below the resolution of the numerical data.

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