Laboratoire de Mécanique et d’Acoustique

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most citedA high order purely frequency-based harmonic balance formulation for continuation of periodic solutions

259 citations

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math.DS2016

A multidimensional birkhoff theorem for time-dependent tonelli hamiltonians

Marie-Claude Arnaud, Andrea Venturelli

Let $M$ be a closed and connected manifold, $H : T^{*} M \times R / Z \to R$ a Tonelli $1$ -periodic Hamiltonian and $L \subset T^{*} M$ a Lagrangian sub…

math.DS2009

Properties of periodic solutions near their oscillation threshold for a class of hyperbolic partial differential equations with localized nonlinearity

Benjamin Ricaud

The periodic solutions of a type of nonlinear hyperbolic partial differential equations with a localized nonlinearity are investigated. For instance, these equations are known to d…

math.DS2008★ 259 cited

A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions

Bruno Cochelin, Christophe Vergez

Combinig the harmonic balance method (HBM) and a continuation method is a well-known technique to follow the periodic solutions of dynamical systems when a control parameter is var…