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In this work we discuss the most recent results concerning the Vlasovdynamics inside the spinodal region. The chaotic behaviour which follows aninitial regular evolution is characterized through the calculation of thefractal dimension of the distribution of the final modes excited. The ambiguousrole of the largest Lyapunov exponent for unstable systems is also criticallyreviewed.Comment: 10 pages, RevTeX, 4 figures not included but available upon reques

Chaos vs linear instability in the Vlasov equation: A fractal analysis characterization