# Edward Norton Lorenz

Edward Norton Lorenz | |
---|---|

Edward Norton Lorenz | |

Born |
West Hartford, Connecticut, United States | May 23, 1917

Died |
April 16, 2008 90) Cambridge, Massachusetts, United States | (aged

Residence | United States |

Alma mater |
Dartmouth College (BA, 1938) Harvard University (MA, 1940) Massachusetts Institute of Technology (SM, 1943; ScD, 1948) |

Known for |
Chaos theory Lorenz attractor Butterfly effect |

Awards |
Symons Gold Medal (1973) Crafoord Prize (1983) Kyoto Prize (1991) Lomonosov Gold Medal (2004) |

Scientific career | |

Fields | Mathematics and Meteorology |

Institutions | Massachusetts Institute of Technology |

Thesis |
A Method of Applying the Hydrodynamic and Thermodynamic Equations to Atmospheric Models (1948) |

Doctoral advisor | James Murdoch Austin |

Doctoral students |
Kevin E. Trenberth William D. Sellers |

**Edward Norton Lorenz** (/ˈlɒrənts/; May 23, 1917 – April 16, 2008)^{[1]}^{[2]} was an American mathematician, meteorologist, and a pioneer of chaos theory.^{[3]} He introduced the strange attractor notion and coined the term *butterfly effect.*

## Biography

Lorenz was born in West Hartford, Connecticut.^{[4]} He studied mathematics at both Dartmouth College in New Hampshire and Harvard University in Cambridge, Massachusetts. From 1942 until 1946, he served as a meteorologist for the United States Army Air Corps. After his return from World War II, he decided to study meteorology.^{[2]} Lorenz earned two degrees in the area from the Massachusetts Institute of Technology where he later was a professor for many years. He was a Professor Emeritus at MIT from 1987 until his death.^{[2]}

During the 1950s, Lorenz became skeptical of the appropriateness of the linear statistical models in meteorology, as most atmospheric phenomena involved in weather forecasting are non-linear.^{[2]} His work on the topic culminated in the publication of his 1963 paper "Deterministic Nonperiodic Flow" in *Journal of the Atmospheric Sciences*, and with it, the foundation of chaos theory.^{[2]}^{[5]}^{[6]}
He states in that paper:

Two states differing by imperceptible amounts may eventually evolve into two considerably different states ... If, then, there is any error whatever in observing the present state—and in any real system such errors seem inevitable—an acceptable prediction of an instantaneous state in the distant future may well be impossible....In view of the inevitable inaccuracy and incompleteness of weather observations, precise very-long-range forecasting would seem to be nonexistent.

His description of the butterfly effect followed in 1969.^{[2]}^{[7]}^{[8]} He was awarded the Kyoto Prize for basic sciences, in the field of earth and planetary sciences, in 1991,^{[9]} the Buys Ballot Award in 2004, and the Tomassoni Award in 2008.^{[10]}

In his later years, Lorenz lived in Cambridge, Massachusetts. He was an avid outdoorsman, who enjoyed hiking, climbing, and cross-country skiing. He kept up with these pursuits until very late in his life, and managed to continue most of his regular activities until only a few weeks before his death. According to his daughter, Cheryl Lorenz, Lorenz had "finished a paper a week ago with a colleague."^{[11]} On April 16, 2008, Lorenz died at his home in Cambridge at the age of 90, having suffered from cancer.^{[12]}

## Awards

- 1969 Carl-Gustaf Rossby Research Medal, American Meteorological Society.
- 1973 Symons Gold Medal, Royal Meteorological Society.
- 1975 Fellow, National Academy of Sciences (U.S.A.).
- 1981 Member, Norwegian Academy of Science and Letters.
- 1983 Crafoord Prize, Royal Swedish Academy of Sciences.
- 1984 Honorary Member, Royal Meteorological Society.
- 1989 Elliott Cresson Medal, The Franklin Institute
- 1991 Kyoto Prize for
*‘… his boldest scientific achievement in discovering "deterministic chaos" .’* - 2000 International Meteorological Organization Prize from World Meteorological Organization
- 2004 Buys Ballot Medal of the Royal Netherlands Academy of Arts and Sciences.
- 2004 Lomonosov Gold Medal of the Russian Academy of Sciences

## Work

Lorenz built a mathematical model of the way air moves around in the atmosphere. As Lorenz studied weather patterns he began to realize that the weather patterns did not always behave as predicted. Minute variations in the initial values of variables in his twelve-variable computer weather model (c. 1960, running on an LGP-30 desk computer) would result in grossly divergent weather patterns.^{[2]} This sensitive dependence on initial conditions, which came to be known as the butterfly effect, meant that weather predictions from more than about a week out are generally fairly inaccurate.^{[13]}

Lorenz went on to explore the underlying mathematics and published his conclusions in a seminal work titled *Deterministic Nonperiodic Flow*, in which he described a relatively simple system of equations that resulted in a very complicated dynamical object now known as the Lorenz attractor.^{[6]}

## Publications

Lorenz published several books and articles. A selection:

- 1955 Available potential energy and the maintenance of the general circulation.
*Tellus*. Vol.7 - 1963 Deterministic nonperiodic flow.
*Journal of the Atmospheric Sciences*. Vol.20 : 130—141 link.^{[14]} - 1967 The nature and theory of the general circulation of atmosphere.
*World Meteorological Organization*. No.218 - "Three approaches to atmospheric predictability" (PDF).
*Bulletin of the American Meteorological Society*.**50**: 345–349. 1969. - 1972 Predictability: Does the Flap of a Butterfly's Wings in Brazil Set Off a Tornado in Texas? link
- 1976 Nondeterministic theories of climate change.
*Quaternary Research*. Vol.6 - 1990 Can chaos and intransitivity lead to interannual variability?
*Tellus*. Vol.42A - 2005 Designing Chaotic Models.
*Journal of the Atmospheric Sciences*: Vol. 62, No. 5, pp. 1574–1587.

## See also

- Attractor
- Experimental mathematics
- Lorenz attractor
- Lorenz energy cycle
- Meteorology
- Numerical weather prediction

## References

- ↑ Palmer, T. N. (2009). "Edward Norton Lorenz. 23 May 1917 -- 16 April 2008".
*Biographical Memoirs of Fellows of the Royal Society*.**55**: 139–155. doi:10.1098/rsbm.2009.0004. - 1 2 3 4 5 6 7
Tim Palmer (2008). "Edward Norton Lorenz".
*Physics Today*.**61**(9): 81–82. Bibcode:2008PhT....61i..81P. doi:10.1063/1.2982132. - ↑ Motter A. E. and Campbell D. K. (2013). Chaos at fifty, Physics Today 66(5), 27-33.
- ↑ "Lorenz Receives 1991 Kyoto Prize". MIT News Office. 1991. Archived from the original on September 23, 2008.
- ↑ Boeing, G. (2016). "Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction".
*Systems*.**4**(4): 37. doi:10.3390/systems4040037. Retrieved 2016-12-02. - 1 2
Edward N. Lorenz (1963). "Deterministic Nonperiodic Flow".
*Journal of the Atmospheric Sciences*.**20**(2): 130–141. Bibcode:1963JAtS...20..130L. doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2. - ↑
Edward N. Lorenz (1969). "Atmospheric predictability as revealed by naturally occurring analogues".
*Journal of the Atmospheric Sciences*.**26**(4): 636–646. Bibcode:1969JAtS...26..636L. doi:10.1175/1520-0469(1969)26<636:APARBN>2.0.CO;2. - ↑ Edward N. Lorenz (1969). "Three approaches to atmospheric predictability" (PDF).
*Bulletin of the American Meteorological Society*.**50**: 345–349. Bibcode:1969BAMS...50..345.. doi:10.1175/1520-0477-50.5.345. - ↑ Maggie Fox, Eric Walsh (2008). "Edward Lorenz, father of chaos theory, dead at 90". Reuters.
- ↑ "Tomassoni awards". Dipartimento di Fisica, Università degli Studi di Roma "La Sapienza".
- ↑ Kenneth Chang (2008-04-17). "Edward N. Lorenz, a Meteorologist and a Father of Chaos Theory, Dies at 90".
*The New York Times*. Retrieved 2010-05-01. - ↑ "Edward Lorenz, father of chaos theory, dies at age 90". CNN.
- ↑ The term was first recorded from Lorenz's address at the annual meeting of the American Association for the Advancement of Science, on December 29, 1979.
- ↑ According to the Web of Science online academic database, this paper has received at least 4000 unique citations by subsequent authors, making it one of the most-cited papers of all time.

## External links

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