The essence of chaos : Edward N. Lorenz Seattle: University of Washington Press, 227 pp., $19.95finite element analysislaminationslossesmachine theorymagnetic anisotropymagnetic coresmagnetic fieldsmagnetic fluxreluctance motorsrotorsCurrently, much attention is paid to the behavior of thin laminations of...
Stephen Smale, a Fields Medal recipient in 1966, turned his attention to dynamical systems without knowing about Lorenz's work. But like the MIT meteorologist, Smale was able to develop a model that made it possible to see the effects of chaos. It's now known as theSmale horseshoe, and i...
Controlling chaos in the Lorenz system with a controllable Rayleigh number is investigated by the state space exact linearization method. Based on proving
of time the status of the system. These were relatively simple systems that implied a total predictability. Sometimes more complex systems do no give rise to the same conclusions or to regular solutions. The atmosphere could be such a system and, according to Edward Lorenz, it may be ...
the RC dynamics bounded and produces rich pattern that allow for the internal states to form a signal bases that can later be combined to approximate the desired series {z(t)}. Empirical studies have shown thatγchosen so that the system is around theedge of chaos15typically produces the ...
In this paper, we report experimental evidence of Lorenz chaos for the Quincke rotor dynamics. We study the angular motion of an insulating cylinder immersed in slightly conducting oil and submitted to a direct current electric field. The simple equations which describe the dynamics of the rotor ...
While the generalized Lorenz system unifies the famous Lorenz system and Chen's system [G. Chen and T. Ueta: Yet another chaotic attractor. Internat. J. Bifur. Chaos 9 (1999)], the hyperbolic-type generalized Lorenz system is in some way complementary to it. Synchronization of two such ...
Part Two – Lorenz– one point of view from the exceptional E.N. Lorenz Part Three – Hays, Imbrie & Shackleton– how everyone got onto the Milankovitch theory Part Four – Understanding Orbits, Seasons and Stuff– how the wobbles and movements of the earth’s orbit affect incoming solar ra...
Part Two – Lorenz –one point of view from the exceptional E.N. Lorenz Part Three – Hays, Imbrie & Shackleton –how everyone got onto the Milankovitch theory Part Four – Understanding Orbits, Seasons and Stuff –how the wobbles and movements of the earth’s orbit affect incoming solar ra...
6Lorenz and his team were running weather simulations on a computer and suddenly realized that rounding errors in the third decimal of just one measurement in one corner of their map (a 'flap of a butterfly') were able to change predictions in another area from clear skies to thunderstorms....