ABSTRACT
For the study of nonlinear phenomena, it is known that the simplest nonlinear difference equations have arisen in the field of biological, economic, and social sciences, and possess a rich spectrum of dynamical behavior as chaos in many respects [1–3]. A population growth is modeled as a special example, and has been afforded by the nonlinear difference equation called the logistic map. Particularly, for onedimensional (1D) chaotic maps, a bifurcation diagram of the two-parameter quadratic family has been observed [4], and the self-adjusting logistic map with a slowly changing parameter in time has been considered [5]. Moreover, the logistic map with a periodically modulated parameter has been presented [6]. In the meantime, various chaotic sequences have been proposed for the generation of pseudorandom numbers and for the application to cryptosystems [7–9].
