A numerical study of the local K spectrum of strange nonchaotic attractors

作者：Kim Youngtae^*

来源：Journal of the Korean Physical Society, 2014, 64(1): 6-10.

DOI：10.3938/jkps.64.6

• Local K spectrum
• Strange nonchaotic attractor
• 0-1 test for chaos
• Nonlinear dynamics
• Quasiperiodically-driven system

Quasiperiodically-driven dynamical systems generally show transitions from a quaisperiodic attractor to a strange nonchaotic attractor (SNA), and then to a chaotic attractor. Discriminating the SNA from the choatic or the quasiperiodic attractor is still not easy because the region of the SNA is narrow and the dynamics of the SNA looks similar to that of other attractors. In this paper, the local K spectrum of the 0-1 test for chaos is introduced to investigate numerically transitions in quasiperiodically-driven dynamical systems. The local K spectrum of the SNA shows clearly distinct characteristics as compared to that of other attractors. This indicates that the local K spectrum is useful for discriminating the SNA from among other attractors of nonlinear dynamical systems.

• 出版日期2014-1