- F. Diacu, Relative
equilibria in the 3-dimensional curved n-body problem
(102 pages, 1 figure).
- F. Diacu, E. Perez-Chavela, and J. Guadalupe Reyes
Victoria,
An intrinsic approach in the curved n-body problem: the negative
curvature case
(44 pages).
Publications:
Books:
- F. Diacu,
The Lost Millennium---History's Timetables Under Siege (second edition),
Johns Hopkins University Press, 2011
- F. Diacu, Megadisasters:
Predicting the Next Catastrophe,
Oxford University Press, Oxford, U.K. and Princeton
University Press, Princeton, N.J., 2009/10 (Translations: Japanese, Chinese,). In 2011, it made the list of "Outstanding
Academic
Books" of 2010 for "Choice Magazine," world's top academic reviewer.
From the citation: [Florin]
Diacu (Univ. of Victoria, Canada) is a mathematician who uses his
professional and outstanding literary skills to provide a remarkable
analysis of the "science" of prediction. His chapter topics range from
tsunamis, earthquakes, volcanic eruptions, and cosmic impacts to
financial crashes and pandemics. Perhaps the most remarkable chapter
deals with climate change. All these subjects are highly germane to the
present world society awash with levels of communication hardly
envisaged 10 or 20 years ago. Diacu's great depth of historical
knowledge, penetrating insights, and familiarity with the associated
literature has led to an erudite yet easily readable approach that
retains critical scientific impact. In an age where the news media and
large sections of society seem to feast on dire predictions and the
threat of many "imminent" disasters, Megadisasters should be required
reading for all intelligent human beings. Summing Up: Highly
recommended. All levels/libraries.
- F. Diacu,
The Lost Millennium---History's Timetables Under Siege,
Knopf Canada, 2005; Vintage Canada, 2006.
- H. Cabral and F. Diacu,
Classical and Celestial Mechanics---The Recife Lectures,
Princeton University
Press, 2002.
- F. Diacu, An
Introduction to Differential
Equations---Order and Chaos,W.H. Freeman, New
York, 2000. (Translations: Portuguese, 2004).
Corrections to the textbook: pdf file
- F. Diacu and P. Holmes, Celestial Encounters---The Origins of Chaos
and Stability,
Princeton University Press, Princeton, N.J., 1996. (Translations:
Romanian, 1996; Chinese, 2001; Greek, 2001; Hungarian, 2003; Japanese
2004, Russian, 2004.) In 1997, it also made the list of "Outstanding
Academic Books" of 1996 for "Choice Magazine."
- F. Diacu, Singularities
of the N-Body Problem, Les Publications CRM,
Montreal, 1992.
Selected Papers:
- F. Diacu, E. Perez-Chavela, and M. Santoprete, The n-body problem in
spaces of constant curvature. Part I: Relative equilibria
J. Nonlinear Sci (to appear).
- F. Diacu, E. Perez-Chavela, and M. Santoprete, The n-body problem in
spaces of constant curvature. Part II: Singularities
J. Nonlinear Sci (to appear).
- F. Diacu, Polygonal
homographic orbits of the curved n-body problem
Trans. Amer. Math. Soc. (to appear).
- F. Diacu, On the singularities of
the curved n-body problem Trans. Amer. Math.
Soc. 363
(4), 2249-2264, 2011.
- F. Diacu and E. Perez-Chavela, Homographic solutions of the curved
3-body problem J. Differential Equations 250,
340-366, 2011.
- F. Diacu, Orbital
Anomalies, Math. Intelligencer 31
(2), 45-49, 2009.
- F. Diacu, T. Fujiwara, E. Perez-Chavela, and M.
Santoprete,
Saari's
Homographic Conjecture of the Three-Body Problem,
Trans. Amer. Math. Soc. 360, 12
(2008), 6447-6473.
- F. Diacu, E. Perez-Chavela, and M. Santoprete, Central Configurations and Total
Collisions for Quasihomogeneous n-Body Problems,
Nonlinear Anal. 65, (2006), 1425-1439.
- F. Diacu, E. Perez-Chavela and M. Santoprete, Saari's Conjecture of the N-Body
Problem in the Collinear Case, Trans. Amer.
Math. Soc. 357,10 (2005), 4215-4223.
- F. Diacu, E. Perez-Chavela and M. Santoprete, The Kepler Problem with Anisotropic
Perturbations, J. Math. Phys. 46,
7 (2005), 072701(1-21).
- F. Diacu and M. Santoprete, On the Global Flow of the Anisitropic
Manev Problem,
Phys. D 194 (2004), 75-94.
- F. Diacu and E. Perez-Chavela, On the Dynamics of the Langmuir Problem,
J. Phys. A: Math. Gen. 36 (2003),
9053-9066.
- F. Diacu and M. Santoprete, Nonintegrability and Chaos in the
Anisotropic Manev Problem, Phys. D 156
(2001), 39-52.
- F. Diacu, Stability in the Anisotropic
Manev Problem,
J. Phys. A: Math. Gen. 33 (2000),
6573-6578.
- F. Diacu, A Century-long Loop,
Math. Intelligencer
22 (2) (2000), 19-25.
- F. Diacu, V. Mioc, and C. Stoica, Phase-space structure and regularization
of Manev-type problems, Nonlinear Anal. 41(2000),
1029-1055.
- F. Diacu, Two-body problems with drag or
thrust: qualitative
results, Celestial Mechanics 75
(1999), 1-15.
- S. Craig, F. Diacu, E.A. Lacomba, and E. Perez-Chavela,
On the anisotropic Manev problem, J. Math. Phys. 40,
3 (1999), 1359-1375.
- F. Diacu and D. Selaru, Chaos in the
Gylden problem, J. Math. Phys. 39,
12 (1998), 6537-6546.
- F. Diacu, Near-Collision
Dynamics for Particle Systems with Quasihomogeneous Potentials,
J. Differential Equations, 128, 58-77,
1996.
- F. Diacu, The
Solution of the N-Body Problem, Math.
Intelligencer 18 (3), 66-70, 1996.
- J. Delgado, F. Diacu, E.A. Lacomba, A. Mingarelli, V.
Mioc, E. Perez-Chavela, C. Stoica, The Global Flow of the
Manev Problem, J. Math. Phys. 37
(6), 2748-2761, 1996.
- F. Diacu, The Planar Isosceles Problem for
Maneff's Gravitational Law, J. Math. Physics 34
(12), 5671-5690, 1993.
- F. Diacu, Painleve's Conjecture,
Math. Intelligencer 15 (2), 6-12, 1993.
- F. Diacu, A
Generic Property of the Bounded Syzygy Solutions,
Proc. Amer. Math. Soc. 116, 809-812,
1992.
- F. Diacu, Regularization of Partial
Collisions in the N-Body
Problem, Differential Integral Equations 5,
103-136, 1992.
- F. Diacu, The
Masses in a Symmetric Centered Solution of the N-Body Problem,
Proc. Amer. Math. Soc. 109, 1079-1085,
1990.
History of Mathematics Papers:
Popular Science Articles:
- F. Diacu, Mathematical
Research: Invention and Discovery, Pi in the Sky
11, 3, 2008.
- F. Diacu, On the Dynamics of Karate
Pi in the Sky
6, 9-11, 2003.
- F. Diacu, The
Top Mathematics Award, Pi in the Sky 3,
17-18, 2001, and The Ring, February 3, 2001,
p. 6.
- F. Diacu, The
slingshot effect of
celestial bodies, Pi in the Sky 2,
16-18, 2000.
Encyclopedia Articles:
- F. Diacu, Celestial
Mechanics,
Encyclopedia of Nonlinear Science, Fitzroy Dearborn, 2003.
- F. Diacu, N-Body
Problem, Encyclopedia of Nonlinear Science,
Fitzroy Dearborn, 2003.
Newspaper Articles:
- F. Diacu,
The mathematics of making money, The Ring,
Thursday, February 21, 2002, p. 7.
- F. Diacu,
Reality is this: new
millennium starts tomorrow, Times Colonist,
Saturday,
December 30, 2000, p. A11.
- F. Diacu,
Make elections fairer: use
Borda count, Times Colonist, Saturday, December
9, 2000,
p. A19.
Interviews:
Reviews:
Presentations:
Awards:
- The 1996 Prize of The
American Romanian Academy of Arts and Sciences
- The Outstanding Academic Book
award for 1997
from Choice Magazine for Celestial
Encounters
- Celstial Encounters made the
list of Best 10 Nonfiction
Books of 1997 for The American Reporter
Book Review
- The Outstanding Academic Book
award for 2010
from Choice Magazine for Megadisasters
Hobbies:
Blog:
Florin
Diacu's Food For Thought
