In this paper, the problem of controlling for sudden occurrence of chaos (SOC) is considered. SOC is completely different from the three routes from regular motion to chaos.We prove that this new kind of chaos can be controlled. Furthermore, according to its specific characteristic, SOC is precisely controlled to different s-cycle through predictive control. Its efficacy is demonstrated via num...

We propose a method for controlling chaos and hyper-chaos by applying continuous proportional feedback to the system variables and their derivatives. The method has been applied successfully in six-order coupled Chua’s hyper-chaotic circuit system. The theoretical analysis and numerical simulation results show that unstable fixed points embedded in hyper-chaotic attractors can be stabilized and...

Chaotic systems are highly susceptible to control by using small perturbations to a system constraint. Feedback methods have been applied to taming chaos in magnetoelastic and hydrodynamic systems, electric circuits, lasers, chemical reactions, and tissues of heart and brain in vitro.1 The well-known Ott-Grebogi-Yorke (OGY) algorithm2 and its variations are based on the notion that for controll...

People who smoke crack cocaine are described as chaotic and more likely to engage in risky sex, polysubstance use and contract infectious diseases. However, little is known about how individuals perceive smoking crack as compared to other forms of cocaine use, especially injection. We explored the lived experience of people who smoke crack cocaine. Six gender-specific focus groups (n = 31) of i...

Control of chaos refers to a process wherein a tiny perturbation is applied to a chaotic system, in order to realize a desirable (chaotic, periodic, or stationary) behavior. We review the major ideas involved in the control of chaos, and present in detail two methods: the Ott}Grebogi}Yorke (OGY) method and the adaptive method. We also discuss a series of relevant issues connected with chaos con...

The effect of the shape of six different periodic forces and second periodic forces on the onset of horseshoe chaos are studied both analytically and numerically in a Duffing oscillator. The external periodic forces considered are sine wave, square wave, symmetric saw-tooth wave, asymmetric saw-tooth wave, rectified sine wave, and modulus of sine wave. An analytical threshold condition for the ...

generate very wide bandwidth waveforms directly and efficiently. With chaos control, we can produce a vast array of waveforms that are ideal for spread-spectrum communications and for highly accurate ranging. We believe a system designed around a chaotic source can perform comparably to conventional systems while requiring far fewer components. The idea of exploiting the complexity of chaos in ...