Analytical Results for the Maximal Lyapunov Exponent
作者： Roberto Livi , Antonio Politi , Stefano Ruffo
DOI: 10.1007/978-94-011-1691-6_33
关键词: Mathematical analysis 、 Critical value 、 Lyapunov exponent 、 Mathematics 、 Random media 、 Phase transition 、 Lyapunov equation 、 Coupling (probability) 、 Chaotic map 、 Limit (mathematics)
摘要: We study analytically the maximal Lyapunov exponent for coupled chaotic map lattices and products of random Jacobi matrices. To this purpose we develop a mean-field treatment inspired by theory directed polymers in medium. In particular, investigate limit vanishing coupling strength e, extending previous results obtained 2×2 A phase transition is also predicted at critical value e c , which not observed numerical simulations might be an artifact approximation.
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