ABSTRACT
In the natural sciences there is a wide diversity of dynamical systems, ranging from the nano-scale, e.g., hydrogen atoms [1], to macroscopic size, e.g., the solar system [2], which exhibit instabilities leading to chaos or nonperiodic time evolutions. In condensed matter physics, typical examples which show chaotic behavior are turbulence in fluid dynamics [3-5], the Belousov-Zhabotinsky (B-Z) reaction in chemistry [6, 7], charge density wave in low-dimensional conductors [8, 9] and nonlinear carrier transport in semiconductors [10-12]. It can be quite surprising to know and recognize that the dynamical behaviors among different physical systems are unified to a universal class of chaos theory [13-17]. It is also surprising to note that even the common feature of the dynamical behaviors is characterized by a simple mathematical map (the so-called logistic map [18-20]).
