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most citedFreak Waves in Random Oceanic Sea States

558 citations · 2.9k across the 41 of their papers we have counts for

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nlin.CD2019

Anomalous correlators, "ghost" waves and nonlinear standing waves in the -FPUT system

Joseph Zaleski, Miguel Onorato, Yuri V Lvov

We show that Hamiltonian nonlinear dispersive wave systems with cubic nonlinearity and random initial data develop, during their evolution, anomalous correlators. These are respons…

nlin.CD2018★ 2 cited

Universal route to thermalization in weakly-nonlinear one-dimensional chains

Lorenzo Pistone, Sergio Chibbaro, Miguel Bustamante +2

We apply Wave Turbulence theory to describe the dynamics on nonlinear one-dimensional chains. We consider and Fermi-Pasta-Ulam-Tsingou (FPUT) systems, and the discrete nonl…

nlin.CD2018★ 26 cited

Exact discrete resonances in the Fermi-Pasta-Ulam-Tsingou system

Miguel D. Bustamante, Kevin Hutchinson, Yuri V. Lvov +1

In systems of N coupled anharmonic oscillators, exact resonant interactions play an important role in the energy exchange between normal modes. In the weakly nonlinear regime, thos…

nlin.CD2018★ 66 cited

Double scaling in the relaxation time in the -FPUT model

Yuri V Lvov, Miguel Onorato

We consider the original -Fermi-Pasta-Ulam-Tsingou (-FPUT) system; numerical simulations and theoretical arguments suggest that, for a finite number of masses, a statistical…

nlin.CD2016★ 45 cited

Origin of heavy tail statistics in equations of the Nonlinear Schrödinger type: an exact result

M. Onorato, D. Proment, G. El +2

We study the formation of extreme events in incoherent systems described by envelope equations, such as the Nonliner Schrödinger equation. We derive an identity that relates the ev…

nlin.CD2014★ 151 cited

A route to thermalization in the -Fermi-Pasta-Ulam system

Miguel Onorato, Lara Vozella, Davide Proment +1

We study the original -Fermi-Pasta-Ulam (FPU) system with and masses connected by a nonlinear quadratic spring. Our approach is based on resonant wave-wave intera…