Bifurcations and transitions in the quasiperiodically driven logistic map

dc.creatorNegi, Surendra Singh
dc.creatorPrasad, Awadhesh
dc.creatorRamaswamy, Ramakrishna
dc.date2001-05-08
dc.date.accessioned2026-07-07T05:33:28Z
dc.date.available2026-07-07T05:33:28Z
dc.descriptionWe discuss several bifurcation phenomena that occur in the quasiperiodically driven logistic map. This system can have strange nonchaotic attractors (SNAs) in addition to chaotic and regular attractors; on SNAs the dynamics is aperiodic, but the largest Lyapunov exponent is nonpositive. There are a number of different transitions that occur here, from periodic attractors to SNAs, from SNAs to chaotic attractors, etc. We describe some of these transitions by examining the behavior of the largest Lyapunov exponent, distributions of finite time Lyapunov exponents and the invariant densities in the phase space.
dc.description17 Pages, 8 Figures(four figures are in ps format and four figures are in gif format
dc.identifierhttps://arxiv.org/abs/nlin/0105014
dc.identifierhttp://arxiv.org/abs/nlin/0105014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80007
dc.subjectChaotic Dynamics
dc.titleBifurcations and transitions in the quasiperiodically driven logistic map
dc.typetext

Files

Collections