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We show that even small dissipation can strongly affect theFermi-Pasta-Ulam-Tsingou recurrence phenomenon. Taking the fully nonlinearstage of modulational instability as an experimentally accessible example, weshow that the linear attenuation induces the symmetry of the recurrence to bebroken through separatrix crossing occurring at multiple critical values of theattenuation. We provide experimental evidence for this phenomenon in a fiberoptics experiment designed in such a way that the effective losses can becarefully tailored by techniques based on Raman amplification.

Multiple symmetry breaking induced by weak damping in the Fermi-Pasta-Ulam-Tsingou recurrence process