A brief survey of the emerging field termed ”Control of Chaos” is given based on about 200 publications in peer reviewed journals. Three major branches of research are discussed in detail: ”nonfeedback control” (based on periodic excitation of the system); ”OGY method” (based on linearization of Poincar é map) and ”Pyragas method” (based on a time-delay feedback). Some unsolved problems concern...

The effect of phase-conjugate feedback on the dynamic response of semiconductor lasers is studied by using a rate-equation approach. The steady state exists only for certain well-defined values of the phase of the intracavity optical field. Depending on the amount of phase-conjugate feedback, the steady state becomes unstable through two independent instabilities, referred to as fold and Hopf i...

One of the most attractive and important field of chaos theory is control of chaos. In this paper, we try to present a simple framework for chaotic motion control using the feedback linearization method. Using this approach, we derive a strategy, which can be easily applied to the other chaotic systems. This task presents two novel results: the desired periodic orbit need not be a solution of t...

S.typhimurium is a gram negative bacterium causing serious enteric or extraintestinal infections in human, cattle and birds. These kinds of infections may lead to some permanent or nonpermanent complications like endophthalmitis, Guillain-Barre syndrome and osteomyelitis . Multi-resistant strains of S.typhimurium have been reported from several countries, and these infections are a major public...

In this paper, we derive new results for global chaos control of chaotic systems via sliding control. We also explore the analysis and global chaos control of the hyperchaotic Li system (2005) using sliding control. The global chaos control results via sliding control have been established using Lyapunov stability theory. Numerical simulations using MATLAB are shown to validate and depict the e...

Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...