The emergence of second-harmonic generation (SHG) is a pivotal issue to the development of nano-optical devices and interfaces. Here, we perform a classical analysis of the SHG dynamics with the aim of determining critical values of the electric field. The signals of the SHG process are nonlinear, so it seems reasonable that chaos theory can be a suitable tool to analyze their dynamics. For thi...

................................................. v 1 . INTRODUCTION ........................................... 1 2 . PSEUDO RANDOM NUMBER GENERATION .................... 3 3 . APPLICATION TO THE KEY MANAGEMENT PROBLEM . . . . . . . . . . 7 4 . IMPLEMENTATION ........................................ 11 5 . DISCUSSION .............................................. 13 REFERENCES ...................

‎in the following text for arbitrary $x$ with at least two elements‎, ‎nonempty countable set $gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(x^gamma,sigma_varphi)$ where $varphi:gammatogamma$ is an arbitrary self-map‎. ‎we pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding devaney‎, ‎exact dev...

This paper studies basic dynamics from a novel pulse-coupled network (PCN). The unit element of the PCN is an integrate-and-fire circuit (IFC) that exhibits chaos. We an give an iff condition for the chaos generation. Using two IFC, we construct a master-slave PCN. It exhibits interesting chaos synchronous phenomena and their breakdown phenomena. We give basic classification of the phenomena an...

An old problem, but a new area of fundamental research, is characterizing orbital dynamics and its consequences in time-dependent potentials. Regarding nonequilibrium space-charge potentials, one clear consequence is halo formation. We show that orbital chaos normally plays a central role in halo formation. In turn, the ability to quantify chaos is centrally important. We show examples of the g...

We propose manifold piecewise constant systems (ab. MPC) and consider basic phenomena: the 2-D, 3-D and 4-D MPCs exhibit limit-cycle, line-expanding chaos and areaexpanding chaos, respectively. The righthand side of the state equation is piecewise-constant, hence the system dynamics can be simplified into a piecewise-linear return map which can be expressed explicitly. In order to analyze the p...