2007/10/01 by M. G. Cosenza, O. Alvarez-Llamoza, Cosenza, M. G. +4
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.0710.0184
4 pages, 5 Figs, Submitted to IJBC
arxiv created 2007/10/01 · openalex publication_date 2007/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The scaling behaviour of the Lyapunov exponent near the transition to chaos via type-III intermittency is determined for a generic map. A critical exponent β expressing the scaling of the Lyapunov exponent as a function of both, the reinjection probability and the nonlinearity of the map is calculated. It is found that the critical exponent varies on the interval 0 < β< 1. This contrasts with earlier predictions for the scaling behaviour of the Lyapunov exponent in type-III intermittency.