General theory and examples of the inverse Frobenius-Perron problem

Details General theory and examples of the inverse Frobenius-Perron problem General theory and examples of the inverse Frobenius-Perron problem

1998-01-20

arxiv.org/abs/chao-dyn/9801028v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, 10 figures, submitted to Physical Review E

Scientific paper

The general solution of the inverse Frobenius-Perron problem considering the construction of a fully chaotic dynamical system with given invariant density is obtained within the class of one-dimensional unimodal maps. Some interesting connections between this solution and the approach via conjugation transformations are eluminated. The developed method is applied to obtain a wide class of maps having as invariant density the two-parametric beta-probability density function. Varying the parameters of the density a rich variety of dynamics is observed. Observables like autocorrelation functions, power spectra and Lyapunov exponents are calculated for representatives of this family of maps and some theoretical predictions concerning the decay of correlations are tested.

Affiliated with

Also associated with

No associations

Rating

General theory and examples of the inverse Frobenius-Perron problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with General theory and examples of the inverse Frobenius-Perron problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General theory and examples of the inverse Frobenius-Perron problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-216857