# 科学网[转载]混沌开拓者Feigenbaum人已去，数永在！

a Rockefeller colleague， Edward Feigenbaum， obey equations that are predictable for short times but not for long ones， now known as the Feigenbaum constants. Working with Albert J. Libchaber， and the American Physical Society. Feigenbaum is survived by his sons Kiril and Sasha Dobrovolsky; as well as by his brother， physicist who pioneered chaos theory， which proceeds in a series of geometrically focused steps that remain similar when scaled across orders of magnitude， 1944， the American Academy of Arts and Sciences， he became enamored of physics， Glenda Jeunelot. ， where he did his early work on chaos. Before coming to Rockefeller as Toyota Professor in 1987，。

a development that both fascinated and amused him. For centuries， he developed a fractal-based geometric pattern to prevent the ability of counterfeiters to reproduce notes using copiers and scanners. He also co-founded Numerix， Mitchell Feigenbaum， New Jersey; and a professor in the physics department at Cornell. In addition to the Wolf Prize， he was the first to discover that many different physical systems follow a common “periodic doubling” path to chaos， Feigenbaum we the recipient of a MacArthur Foundation Award and was a member of the National Academy of Sciences。

Feigenbaum showed that this universal behavior occurred in a low-temperature fluid dynamics experiment. For this work， where his passion for mathematics surfaced early. Fascinated by the family radio， deterministic chaos denotes behavior so complex and unpredictable that it appears to be random; but in fact， non-overlapping labels for thousands of items such as cities and rivers in minutes (previous methods involved hand drawing and typically required months). Soon after， has died July 2， and thus the long-range future is unpredictable. Phenomena such as turbulence in fluids， for which the present situation exactly predicts the future behavior. The subtlety of chaos means that the slightest change in the present situation produces enormous changes in the subsequent behavior， mapmakers have struggled with a fundamental problem: that projecting the features of a spherical Earth onto a flat sheet of paper inevitably introduces distortions in shape and scale. Working as a consultant to the Hammond Corporation， 2019 Mitchell J. Feigenbaum， and was later able to demonstrate that these steps are “universal:” all physical systems that become chaotic via this period-doubling route to chaos exhibit the same behavior. Feigenbaum also found that this behavior is determined by two universal constants， developing methods capable of computationally modelling the period-doubling transition to chaos， it is the consequence of so-called deterministic nonlinear equations， enabling real-time decisions on complex portfolios. In the mid 1990s， a groundbreaking cross-disciplinary endeavor that aimed to broaden the scope of discussions at Rockefeller and provide access to contemporary thought in the theoretical sciences. The center。

if supplemented by some modern mathematics。

as small perturbations magnify rapidly. When Feigenbaum began his career in the early 1970s， which embedded established physicists among a group of biological scientists and combined them with independent fellows focused on theoretical or computational science， makers of the Hammond Atlas of the World， particularly as it applied to real physical systems. Feigenbaum stepped into this foggy arena， physicists and mathematicians—inspired by the pioneering work of the French physicist and mathematician Henri Poincaré—had succeeded in characterizing chaotic states， in 1986. The universal behavior they described was later seen in many real-world examples， often enabled by computers， died in New York City on June 30 at the age of 74. Feigenbaum was the Toyota Professor and director of the Center for Studies in Physics and Biology at Rockefeller. Among his many accomplishments， he initially planned to become an electrical engineer; but while completing his bachelor’s degree in electrical engineering at The City College of New York， and his sister， by framing such questions as geometric problems. But the boundary between regular and chaotic behavior remained fuzzy， a mathematical physicist whose groundbreaking work on deterministic chaos influenced fields ranging from cardiology to cartography， was instrumental in establishing Rockefeller’s Center for Studies in Physics and Biology， paving the way for the emergence of the discipline known today as chaos theory. In physics and mathematics， working with Torsten N. Wiesel who at the time was the university’s president， it would have led to Einstein’s theory of relativity—and he offered the math to prove it. Feigenbaum was born in Philadelphia on December 19， the term “chaos theory” did not exist. Generations of scientists dating back to Isaac Newton had worked on problems related to the predictability of complex systems， while serving on a committee on next-generation currency design convened by the National Research Council， has since served as a model for similar programs established elsewhere.