2005/04/29 by O. B. Isaeva, S. P. Kuznetsov
Physics and Astronomy · #nlin.CD
published as Nonlinear Phenomena in Complex Systems, V.8, No.2, 2005 · 11 pages, 10 figures,3 tables
arxiv created 2005/04/29 · arxiv updated 2009/12/01
Analogy between an approximate version of Feigenbaum renormalization group analysis in complex domain and the phase transition theory of Yang-Lee (based on consideration of formally complexified thermodynamic values) is discussed. It is shown that the Julia sets of the renormalization transformation correspond to the approximation of Mandelbrot set of the original map. New aspects of analogy between the theory of dynamical systems and the phase transition theory are uncovered.