Co-existence of Regular and Chaotic Motions in the Gaussian Map
Co-existence of Regular and Chaotic Motions in the Gaussian Map
复制标题
高斯图中规则运动与混沌运动的共存
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Vinod Patidar
中科院分区：
文献类型：
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作者：
Vinod Patidar
在这次交流中，与其他一维地图相比，过去较少引起关注的高斯地图得到了探索。特别地，在完备的参数空间中，研究了高斯映射的动力学行为和共存吸引子的存在(这在一维映射中是罕见的现象)。我们还提出了在一组特定的系统参数下出现共存吸引子的可能的几何原因，这适用于所有一维映射。参数空间中规则运动和混沌运动并存的区域也被识别出来。《理论物理电子杂志》。版权所有。
In this communication, the Gaussisn map, which has drawn less attention in the past as compare to other one-dimensional maps, has been explored. Particularly, the dynamical behavior of the Gaussian map and the presence of co-existing attractors (which is a rare phenomenon in one-dimensional maps) in the complete parameter space have been investigated. We also suggest a possible geometrical reason for the emergence of co-existing attractors at a particular set of system parameters, which works for all one-dimensional maps. The regions of parameter space, where regular and chaotic motions co-exist, have also been identified. c © Electronic Journal of Theoretical Physics. All rights reserved.