Patterns in the sine map bifurcation diagram

2010/11/30 by Cristian Constantin Lalescu, Lalescu, Cristian Constantin
Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #math.DS #nlin.CD

paper · pdf · doi:10.48550/arxiv.1011.6552

arxiv created 2010/11/30 · arxiv updated 2010/12/01

Abstract

Numerical computations of bifurcation maps for one dimensional maps show patterns (regular jumps in point density) in the zones of chaotic behaviour. In this work, empiric formulas are given for these patterns for an entire class of maps.

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