High-Dimensional Dynamics in the Delayed Hénon Map
نویسنده
چکیده
A variant of the Hénon map is described in which the linear term is replaced by one that involves a much earlier iterate of the map. By varying the time delay, this map can be used to explore the transition from low-dimensional to high-dimensional dynamics in a chaotic system with minimal algebraic complexity, including a detailed comparison of the Kaplan-Yorke and correlation dimensions. The high-dimensional limit exhibits universal features that may characterize a wide range of complex systems including the spawning of multiple coexisting attractors near the onset of chaos. c © Electronic Journal of Theoretical Physics. All rights reserved.
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تاریخ انتشار 2006