Basin bifurcation in quasiperiodically forced systems

نویسندگان

  • Ulrike Feudel
  • Annette Witt
  • Ying-Cheng Lai
  • Celso Grebogi
چکیده

In this paper we study quasiperiodically forced systems exhibiting fractal and Wada basin boundaries. Specifically, by utilizing a class of representative systems, we analyze the dynamical origin of such basin boundaries and we characterize them. Furthermore, we find that basin boundaries in a quasiperiodically driven system can undergo a unique type of bifurcation in which isolated ‘‘islands’’ of basins of attraction are created as a system parameter changes. The mechanism for this type of basin boundary bifurcation is elucidated. @S1063-651X~98!07909-4#

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تاریخ انتشار 1998