Biography:Jack K. Hale
Jack K. Hale | |
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Born | Jack Kenneth Hale October 3, 1928 Carbon Glow, Kentucky, US |
Died | December 9, 2009 Atlanta, Georgia, US | (aged 81)
Alma mater | Purdue University |
Awards | Chauvenet Prize (1965) [1] Guggenheim fellowship (1979)[2] |
Scientific career | |
Fields | Applied mathematics and Dynamical systems and Control theory |
Institutions | Brown University and Georgia Institute of Technology |
Doctoral advisor | Lamberto Cesari[3] |
Jack Kenneth Hale (3 October 1928 – 9 December 2009) was an American mathematician working primarily in the field of dynamical systems and functional differential equations.[4]
Biography
Jack Hale defended his Ph.D. thesis "On the Asymptotic Behavior of the Solutions of Systems of Differential Equations" at Purdue University under Lamberto Cesari in 1954;[3] his undergraduate years were spent at Berea College, where he was studying Mathematics until 1949.[5]
In 1954–57, Hale worked as a Systems Analyst at Sandia Corporation and in 1957–58 he was a Staff Scientist at Remington Rand Univac.[4] During 1958–64, he was a permanent member of the Research Institute for Advanced Studies (RIAS) in Baltimore, Maryland. He became a faculty member at Brown University in 1964 and worked in the Division of Applied Mathematics for 24 years until 1988, serving as Director of the Lefschetz Center for Dynamical Systems for a number of years. In 1988 Hale moved to the School of Mathematics at the Georgia Institute of Technology where he co-founded the Center for Dynamical Systems and Nonlinear Studies (CDSNS), serving as the Director of the CDSNS from 1989 to 1998.[5]
In 1964, together with Joseph LaSalle, Hale became the founding editor of the Journal of Differential Equations,[6] of which he was later Chief Editor. The following year he shared the 1965 Chauvenet Prize with LaSalle for their exposition in the piece on Differential Equations: Linearity vs. Nonlinearity published in the SIAM Review.[1][4] In 1999 he received an honorary doctorate from the University of Rostock (Germany).[7]
Throughout his career, Hale published 15 books, over 200 research papers, and supervised 48 Ph.D. students. He was an Honorary Fellow of the Royal Society of Edinburgh, a Corresponding Member of the Brazilian Academy of Sciences, and a Foreign Member of the Polish Academy of Sciences.[5] The biennial Jack K. Hale Award was established in 2013 by Elsevier with the aim of distinguishing researchers who have made outstanding contributions in the fields of dynamics and differential equations.[8]
Selected works
- Books
- Hale, Jack (1977). Theory of functional differential equations. Applied Mathematical Sciences. 3 (Second edition of 1971 original ed.). New York–Heidelberg: Springer-Verlag. doi:10.1007/978-1-4612-9892-2. ISBN 978-1-4612-9894-6.[9] Original edition published under title Functional differential equations.
- Hale, Jack K. (1980). Ordinary differential equations (Second edition of 1969 original ed.). Huntington, NY: Robert E. Krieger Publishing Co., Inc.. ISBN 0-89874-011-8.[10]
- Chow, Shui Nee; Hale, Jack K. (1982). Methods of bifurcation theory. Grundlehren der Mathematischen Wissenschaften. 251. New York–Berlin: Springer-Verlag. doi:10.1007/978-1-4613-8159-4. ISBN 0-387-90664-9.[11]
- Hale, Jack K. (1988). Asymptotic behavior of dissipative systems. Mathematical Surveys and Monographs. 25. Providence, RI: American Mathematical Society. doi:10.1090/surv/025. ISBN 0-8218-1527-X.[12]
- Hale, Jack K. (1992). Oscillations in nonlinear systems (Corrected reprint of the 1963 original ed.). New York: Dover Publications, Inc.. ISBN 0-486-67362-6.
- Hale, Jack K.; Koçak, Hüseyin (1991). Dynamics and bifurcations. Texts in Applied Mathematics. 3. New York: Springer-Verlag. doi:10.1007/978-1-4612-4426-4. ISBN 0-387-97141-6. https://archive.org/details/dynamicsbifurcat0000hale.[13]
- Hale, Jack K.; Verduyn Lunel, Sjoerd M. (1993). Introduction to functional-differential equations. Applied Mathematical Sciences. 99. New York: Springer-Verlag. doi:10.1007/978-1-4612-4342-7. ISBN 0-387-94076-6.
- Hale, Jack K.; Magalhães, Luis T.; Oliva, Waldyr M. (2002). Dynamics in infinite dimensions. Applied Mathematical Sciences. 47. With an appendix by Krzysztof P. Rybakowski (Second edition of 1984 original ed.). New York: Springer-Verlag. doi:10.1007/b100032. ISBN 0-387-95463-5. Original edition published under title An introduction to infinite-dimensional dynamical systems—geometric theory.
- Articles
- Hale J.K., LaSalle J.P. (1963). "Differential Equations: Linearity vs. Nonlinearity". SIAM Review 5 (3): 249–272. doi:10.1137/1005068. Bibcode: 1963SIAMR...5..249H. http://www.maa.org/sites/default/files/pdf/upload_library/22/Chauvenet/HaleLaSalleJoseph.pdf.
- Hale J.K. (1969). "Dynamical Systems and Stability". Journal of Mathematical Analysis and Applications 26 (1): 39–59. doi:10.1016/0022-247X(69)90175-9.
- Hale, J.K. "Linear Functional-Differential Equations with Constant Coefficients", RIAS Technical Report, 1963.
References
- ↑ 1.0 1.1 Mathematical Association of America, Chauvenet Prize recipients
- ↑ www
.gf .org /fellows /all-fellows /jack-k-hale / - ↑ 3.0 3.1 J. K. Hale on the Mathematics Genealogy Project
- ↑ 4.0 4.1 4.2 Chafee, Nathaniel (2000), "Jack K. Hale: A Brief Biography", Journal of Differential Equations 168 (1): 2–9, doi:10.1006/jdeq.2000.3874
- ↑ 5.0 5.1 5.2 "Dynamical Systems > Home". http://www.dynamicalsystems.org/ma/ma/display?item=55.
- ↑ Journal of Differential Equations Editorial Board. http://www.journals.elsevier.com/journal-of-differential-equations/editorial-board/.
- ↑ "Ehrenpromotionen - Mathematisch-Naturwissenschaftliche Fakultät - Universität Rostock". https://www.mathnat.uni-rostock.de/aktuelles-veranstaltungen/veranstaltungen/ehrenpromotionen/.
- ↑ "Elsevier Jack K. Hale Award in Dynamical Systems and Differential Equations". http://www.elsevier.com/awards/global/elsevier-jack-k.-hale-award-in-dynamical-systems-and-differential-equations.
- ↑ Sell, George R. (1976). "Review: Almost periodic differential equations by A. M. Fink; Nonlinear equations of higher order by R. Reissig, G. Sansone and R. Conti; Functional differential equations by Jack K. Hale". Bulletin of the American Mathematical Society 82 (2): 198–207. doi:10.1090/S0002-9904-1976-13985-7.
- ↑ Meyer, Kenneth R. (1972). "Review of Ordinary Differential Equations by Jack K. Hale". SIAM Review 14 (2): 348–350. doi:10.1137/1014039.
- ↑ Alexander, J. C.; Fitzpatrick, P. M. (1986). "Review: Methods of bifurcation theory by Shui-Nee Chow and Jack K. Hale". Bulletin of the American Mathematical Society. New Series 15 (2): 101–111. doi:10.1090/S0002-9904-1908-01713-0.
- ↑ Raugel, Geneviève (1990). "Review: Asymptotic behavior of dissipative systems by Jack K. Hale". Bulletin of the American Mathematical Society. New Series 22 (1): 175–183. doi:10.1090/s0273-0979-1990-15875-6.
- ↑ Choudhury, S. Roy (1994). "Review of Dynamics and Bifurcations by Jack K. Hale and Huseyin Koçak". SIAM Review 36 (2): 297–299. doi:10.1137/1036075.
External links
- Chafee, Nathaniel (2000), "Jack K. Hale: A Brief Biography", Journal of Differential Equations 168 (1): 2–9, doi:10.1006/jdeq.2000.3874
- Yingfei Yi, "An interview with Jack K. Hale", Dynamical Systems Magazine, November 18, 2003, Atlanta.
- Lefschetz Center for Dynamical Systems at Brown University
- Chow SN., Mallet-Paret J. "Obituary of Jack K. Hale", Journal of Dynamics and Differential Equations, volume 22, issue 2, pp. 73–78, 2010.
![]() | Original source: https://en.wikipedia.org/wiki/Jack K. Hale.
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