Self-similarity symmetry and fractal distributions in iterative dynamics of dissipative mappings

Simple item page
dc.creatorZverev, Vladimir
dc.creatorRubinstein, Boris
dc.date2007-11-21
dc.date.accessioned2026-07-07T08:44:14Z
dc.date.available2026-07-07T08:44:14Z
dc.descriptionWe consider transformations of deterministic and random signals governed by simple dynamical mappings. It is shown that the resulting signal can be a random process described in terms of fractal distributions and fractal domain integrals. In typical cases a steady state satisfies a dilatation equation, relating an unknown function $f(x)$ to $f(κx)$ (for example, ${f(x)=g(x)f(κx)}$). We discuss simple linear models as well as nonlinear systems with chaotic behavior including dissipative circuits with delayed feedback.
dc.description10 pages, one figure
dc.identifierhttps://arxiv.org/abs/0711.3357
dc.identifierhttp://arxiv.org/abs/0711.3357
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142587
dc.subjectMathematical Physics
dc.subject37F25 (Primary) 37D45, 70K55 (Secondary)
dc.titleSelf-similarity symmetry and fractal distributions in iterative dynamics of dissipative mappings
dc.typetext

Files

Collections

arXiv