One-side riddled basin below and beyond the blowout bifurcation

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • H. L. Yang - , University of Potsdam (Author)

Abstract

In this Rapid Comunication we report a phenomenon of a one-side riddled basin where one side of the basin of attraction of an attractor on an invariant subspace (ISS) is globally riddled, while the other side is only locally riddled. This kind of basin appears due to the symmetry breaking with respect to the ISS. This one-side riddled basin can even persist beyond the blowout bifurcation, contrary to the previously reported riddled basins which exist only below the blowout transition. An experimental situation where this phenomenon can be expected is proposed.

Details

Original languageEnglish
Pages (from-to)R4509
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number4
Publication statusPublished - 2000
Peer-reviewedYes
Externally publishedYes