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Article overview
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Routes to chaos in high-dimensional dynamical systems: A qualitative numerical study | D. J. Albers
; J. C. Sprott
; | Date: |
6 Aug 2004 | Subject: | Chaotic Dynamics; Dynamical Systems | nlin.CD math.DS | Abstract: | This paper examines the most probable route to chaos in high-dimensional dynamical systems in a very general computational setting. The most probable route to chaos in high-dimensional, discrete-time maps is observed to be a sequence of Neimark-Sacker bifurcations into chaos. A means for determining and understanding the degree to which the Landau-Hopf route to turbulence is non-generic in the space of $C^r$ mappings is outlined. The results comment on previous results of Newhouse, Ruelle, Takens, Broer, Chenciner, and Iooss. | Source: | arXiv, nlin.CD/0408017 | Services: | Forum | Review | PDF | Favorites |
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