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While we are building a new and improved webshop, please click below to purchase this content via our partner CCC and their Rightfind service. You will need to register with a RightFind account to finalise the purchase. Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, an important and exciting area that has shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex. Of particular note, simple deterministic dynamical systems produce output that appears random and for which long-term prediction is impossible. Using little math beyond basic algebra, David Feldman gives readers a grounded, concrete, and concise overview. In initial chapters, Feldman introduces iterated functions and differential equations.
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Meteorology is a wonderfully interdisciplinary subject. But can nonlinear thinking about predictability of weather and climate contribute usefully to issues in fundamental physics? Although this might seem extremely unlikely at first sight, an attempt is made to answer the question positively.
I n , Edward Lorenz made a presentation to the New York Academy of Sciences and was literally laughed out of the room. His theory, called the butterfly effect, stated that a butterfly could flap its wings and set air molecules in motion that, in turn, would move other air molecules—which would then move additional air molecules—eventually becoming able to influence weather patterns on the other side of the planet. For years this theory remained an interesting myth. In the mid s, however, physics professors from several universities, working in tandem, proved that the butterfly effect was accurate, viable, and worked every time. In The Butterfly Effect , New York Times best-selling author Andy Andrews demonstrates how this amazing concept is illustrated in our own lives by carefully observing history. Take Joshua Chamberlain, a school teacher from Maine who made one move years ago that positively impacted an entire nation.
In chaos theory , the butterfly effect is the sensitive dependence on initial conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state. The term butterfly effect is closely associated with the work of Edward Lorenz. It is derived from the metaphorical example of the details of a tornado the exact time of formation, the exact path taken being influenced by minor perturbations such as a distant butterfly flapping its wings several weeks earlier. Lorenz discovered the effect when he observed runs of his weather model with initial condition data that were rounded in a seemingly inconsequential manner. He noted that the weather model would fail to reproduce the results of runs with the unrounded initial condition data.
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Access options available:. Gainsville, Florida: University of Florida Press, One of the fundamental ideas of chaos theory is the "butterfly effect," first proposed by Edward Lorenz in the s: a single, small event may yield exponentially enlarged effects, just as the single flap of a butterfly's wings may produce vast, unpredictable ramifications in weather patterns far away. Theorists of literature and culture who derive their conceptual framework from chaos theory are now performing the butterfly effect: a few suggestions on the part of certain physicists and biologists have inspired an exponentially growing literature of metaphorical applications in faraway fields. The Aesthetics of Chaos makes the salutory attempt to restrain, summarize, and unify the multivarious aesthetic theories of chaos.
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