Universality and self-similarity in the bifurcations of circle maps (Q1076390)

Circle maps occur in many physical and biological systems. The authors have studied several properties of the global bifurcations of circle maps. Properties of rotation numbers, symmetries and periodic points in circle maps are discussed. The skeleton computed numerically in the particularly simple functional form (known as canonical example) for circle maps is described. The whole investigation suggests a number of further mathematical studies of a physical or biological system described by a circle map.