Abstract

A solvable three-dimensional deterministic map that shows on-off intermittency is derived from a coupled mapping system. The distribution of an on-off variable, that of laminar duration, and the mean laminar duration are analytically obtained. The map enables us to discuss the probability measure on the attractor, which also gives the singularity spectrum f(\ensuremath{\alpha}). The singularity of the measure caused by the on-off intermittency give rises to a linear part of the spectrum f(\ensuremath{\alpha}).

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.