The dependence on ν of the period doubling scaling indices for unimodal maps with a critical point of the form |x|ν is numerically investigated. A new symbolic dynamics based computation technique working in configuration space is introduced. The existence of an upper bound for δ(ν→∞) is numerically verified. An accurate estimate of 29.8 is given for this limit. Moreover, the global functional form of δ(ν) is shown to have an interesting symmetry.
|Original language||English GB|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|State||Published - 24 Jun 1991|