Fractal structures in a generalized square map with exponential terms

doi:10.1088/1674-1056/21/3/030203

Abstract Fractal structures in a generalized squared map with exponential terms are expanded in this paper. We describe how complex behaviors can arise as the parameters change. The appearances of different kinds of fractal structures, in both the attractive and the divergent regions, and most interestingly, on small regular islands embedded in the chaotic region, are manifested to have a variety of extraordinary geometries in the parameter plane.

Keywords: discrete map exponential term parameter plane Lyapunov fractal

Received: 10 August 2011
Revised: 18 September 2011
Accepted manuscript online:

PACS:	02.30.Rz	(Integral equations)
	05.45.Pq	(Numerical simulations of chaotic systems)
	05.45.Ac	(Low-dimensional chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11161027) and the Natural Science Foundation of Gansu Province, China (Grant No. 1010RJZA067).

Corresponding Authors: Li Xian-Feng,lixf1979@vip.qq.com
E-mail: lixf1979@vip.qq.com

Cite this article:

Li Xian-Feng(李险峰), Chu Yan-Dong(褚衍东), and Zhang Hui(张惠) Fractal structures in a generalized square map with exponential terms 2012 Chin. Phys. B 21 030203

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