Semiconductor lasers with optical feedback can produce plentiful non-linear dynamics, including periodic and chaotic oscillations, which are usually applied to microwave signals physical random number generation, respectively. Chaotic semiconductor especially successful in generating numbers compared pseudorandom generated by a computing process. We report self-chaotic microlaser based on the i...

Ramanujans Ternary Quadratic Form represents a series of numbers that satisfy a tripartite quadratic relation. In the present work, we examine the sequence of numbers generated by such forms and other related forms obtained by varying the coefficients and exponents to other values. Chaotic characterization using standard techniques such as Lyapunov Exponents, Kolmogorov Entropy, Fractal Dimensi...

An approach is proposed for making chaotic a given stable Takagi–Sugeno (TS) fuzzy system using state feedback control of arbitrarily small magnitude. The feedback controller chosen among several candidates is a simple sinusoidal function of the system states, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, and satisfy the chaotic mec...

Mind Evolution Algorithm (MEA) imitates the human mind evolution by using similartaxis and dissimilation operations, which overcomes the prematurity and improves searching efficiency. But the generation of the initial population is blind and the addition of naturally washed out temporary subpopulations is random. This paper improved MEA by introducing chaos and difference into it and proposed C...

The quantum dynamics of the periodically-driven infinite square well is examined. This simple system illustrates some important aspects of quantum chaos. The phase space structure of the quantum eigenstates are shown to mimic the structure of the classical phase space and these eigenstates show a transition from “regular” to “chaotic” as the strength of the driving field is increased. The spaci...

Origin of chaos in a simple two-dimensional map model replicating the spiking and spikingbursting activity of real biological neurons is studied. The map contains one fast and one slow variable. Individual dynamics of a fast subsystem of the map is characterized by two types of possible attractors: stable fixed point (replicating silence) and superstable limit cycle (replicating spikes). Coupli...

Mutually-coupled semiconductor lasers are of great current interest because of the important insight they provide into coupled physical, chemical, and biological systems. Two semiconductor lasers either with or without optoelectronic feedback are mutually coupled together through optoelectronic paths. It is found that mutual coupling can signi cantly a ect the dynamics of the semiconductor lase...

G.Geetha Professor and Head, Division of Research and Development Lovely Professional University, Phagwara, India [email protected] Abstract We propose the fractal generation method to generate the different types of fractals using chaos theory. The fractals are generated by Iterated Function System (IFS) technique. The chaos theory is an unpredictable behavior arises in the dynamical system...

This paper analyzes fundamental phenomena from threecoupled relaxation oscillators. The system nonlinearity is a piecewiselinear hysteresis comparator and we can explicitly calculate the returnmap and its Lyapunov exponents. Then we clarify generation of chaos,%-torus,3-torus and various kinds of synchronizations. Also, a roughbifurcation diagram is given. It indicates t...