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The dynamical instability of many-body systems can best be characterized through the local Lyapunov spectrum {λ}, its associated eigenvectors {δ}, and the time-averaged spectrum {〈λ〉}. Each local Lyapunov exponent λ describes the degree of instability associated with a well-defined direction—given by the associated unit vector δ—in the full many-body phase space. For a variety of hard-particle systems...
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