Chaos vs. Linear Instability in the Vlasov Equation: A Fractal Analysis Characterization
Nuclear Theory
2009-09-25 v1
Abstract
In this work we discuss the most recent results concerning the Vlasov dynamics inside the spinodal region. The chaotic behaviour which follows an initial regular evolution is characterized through the calculation of the fractal dimension of the distribution of the final modes excited. The ambiguous role of the largest Lyapunov exponent for unstable systems is also critically reviewed.
Keywords
Cite
@article{arxiv.nucl-th/9509020,
title = {Chaos vs. Linear Instability in the Vlasov Equation: A Fractal Analysis Characterization},
author = {A. Atalmi and M. Baldo and G. F. Burgio and A. Rapisarda},
journal= {arXiv preprint arXiv:nucl-th/9509020},
year = {2009}
}
Comments
10 pages, RevTeX, 4 figures not included but available upon request