Intermittent strange nonchaotic attractors in quasiperiodically forced systems

  • Lim, W
  • Kim, SY
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초록

Intermittent strange nonchactic attractors (SNAs) appear typically in quasiperiodically forced systems. As a basic model, we consider the quasiperiodically forced Henon map and investigate the mechanism for the intermittent transition to SNAs. Using rational approximations to the quasiperiodic forcing, it is shown that dynamical transition to an intermittent. SNA occurs via a phase-dependent saddle-node bifurcation when a smooth torus collides with a new kind of invariant "ring-shaped" unstable set.

키워드

quasiperiodically forced systemstrange nonchaotic attractorRENORMALIZATION-GROUPCRITICAL-POINTCIRCLE MAPTORUSBIRTHBIFURCATIONSROUTE
제목
Intermittent strange nonchaotic attractors in quasiperiodically forced systems
저자
Lim, WKim, SY
DOI
10.3938/jkps.44.514
발행일
2004-03
유형
Article; Proceedings Paper
저널명
Journal of the Korean Physical Society
44
3
페이지
514 ~ 517