This is the text of my keynote speech at the 34th Chaos Communication Congress in Leipzig, December You can also watch it on YouTube, but it runs to about 45 minutes.
X-Y View of Lorenz Attractor 3. Chaos in Industry Since chaotic systems are systems that only appear to be random, but are really deterministic in nature, they possess an underlying order. This underlying order leads to the possibility of controlling chaotic systems.
William Ditto and Louis Pecora have been pioneering methods of controlling chaotic mechanical, electrical and biological systems . For example, Pecora and Thomas Carroll of the U. Naval Research Laboratory realized that synchronized chaos might be used for encoding private electronic communications.
An explanation of synchronized chaos is necessary here to understand what they did.
Chaotic systems are described as having an infinite number of unstable periodic motions. This instability means that no two chaotic systems can be built that provide the same output.
However, it has been shown that if two identical stable systems are driven by the same chaotic signal, they will generate a chaotic output, but their inherent stability causes them to suppress differences between them.
The result is two identical chaotic outputs. At the sending location, generate a chaotic signal and use it as the input to a stable system to generate another chaotic output signal. Mix the chaotic output signal with a message; the result is another signal that looks chaotic but has a message embedded in it.
Now transmit two signals to the receiving location: At the receiving location, feed the original chaotic signal into a stable system identical to that at the sending location; the result is the same chaotic signal that was mixed with the message at the sending station.
Subtract this from the message-encoded chaotic signal and you have the original message. While it has been shown that it is not too difficult to intercept and extract the message from the chaos encoded message, if this method is layered on top of other encrypting methods, it enhances the security of private transmissions.
While the technique just discussed is a method of using chaos, others are working on methods of controlling chaos.
Since a chaotic system is composed of an infinite number of unstable periodic orbits, the key to controlling the system is to wait until the system comes near the desired periodic orbit and then perturb the input parameters just enough to encourage the system to stay on that orbit.
Yorke who developed the system-has been used successfully in stabilizing lasers and other industrial systems. But the techniques employed in the OGY method are not limited to industry; they show promise in controlling chaotic behavior in the human body as well.
Chaos in the Human Body It has been argued that some cardiac arrhythmias are instances of chaos. This opens the doors to new strategies of control.
The traditional method of controlling a system is to model it mathematically in sufficient detail to be able to control critical parameters. However, this method fails in chaotic systems since no model can be developed for a system with an infinite number of unstable orbits.
The OGY method mentioned above was able to exploit the properties of chaotic mechanical and electrical systems, however, system-wide parameters in the human body can not be manipulated quickly enough to control cardiac chaos.
OGY then varies a system-wide parameter to move the stable manifold to the system state point; our method perturbs the system state point to move it toward the stable manifold.
In eleven separate experimental runs, the technique was successful at controlling induced arrhythmia in eight cases.
The good thing is that the stimuli did not simply over drive the heart; stimuli did not even have to be delivered on every beat. This contrasted well with the periodic method which was never successful in restoring a periodic rhythm, and even showed a tendency to make the rhythm more aperiodic.
Similar efforts are being made to control epileptic brain seizures which exhibit chaotic behavior. This technique, controls by waiting for the system to make a close approach to an unstable fixed point along the stable direction. It then makes a minimal intervention to bring the system back on the stable manifold .
Again, an important benefit is the minimal amount of intervention required to control the chaotic event. For example, the University of Texas at San Antonio is studying four types of chaotic dynamics in cellular flames.
Ohio State University is doing studies on chaotic dynamics of ferromagnetic resonance under the directions of Professor P. And the interest in chaos is not limited to the United States; interesting papers regarding intelligent control systems are available online at a site in France, and a long list of available publications is available at another site in Russia.
These and other interesting sites with their Internet addresses are listed in the appendix. With so much worldwide interest and active research, it can only be expected that advancements will continue at a rapid pace in the interesting field of chaos theory-hopefully to the benefit of all mankind.THE ROLE OF LEADERSHIP IN ORGANIZATIONAL CHANGE different kind of knowledge, skills and talent to become successful.
h/her more effective to address the issue of organizational change. The role of leadership is well investigated on the basis of its competences and characteristics to. INTRODUCTION by Edward Waterman. Presented here in its entirety is Don Herron's famous essay, "The Dark Barbarian." This essay first appeared in the book of the same name, The Dark Barbarian, and was first published in This book, and the excellent essays within, were the first to take Robert E.
Howard and his work seriously and to consider Robert E. Howard a major literary figure. Should All Immoral Acts Be Punishable By Law Philosophy Essay.
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Disclaimer: neither of these actions is creating chaos in society, so should not be criminalised. should all immoral acts be punishable, the punishment for the already illegal and also immoral actions needs to be consistent and fair.
Ps. Amani the. Civic Virtue: The Right Thing for Our Society - Introduction Perhaps, the American society is the most divergent, the most accommodating and the most culturally diverse among all societies across the globe. The nation’s current post-truth moment is the ultimate expression of mind-sets that have made America exceptional throughout its history.
Mar 29, · To stop unknowingly creating chaos and avoid enabling a workplace that is unproductive and runs the risk of losing top talent and customer loyalty in the marketplace – leaders must develop the.