Math 512: Introduction to Ordinary Differential Equations

Instructor: Evangelos A. Coutsias

Required Text:

Differential Equations and Dynamical Systems 3rd Ed.
Lawrence Perko, 553 pp., Hardcover, Springer, 2001

ISBN: 978-0-387-95116-4

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• The fundamental solution of a linear system with constant coefficients

• Solutions: problems 12, 13

• Hints: problem 28 (2.9.6)

• Solutions/Errata: problem 32(2.13.5)

• Solutions: problem 41

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Syllabus and exam schedule >>>page under construction<<<

• Outline of Topics

• The fundamental solution of a linear system with constant coefficients

Dynamical Systems

Henri Poincare'
Periodic Orbits

Achilles M. G. Floquet
Bifurcation Theory

Eberhard Hopf on the Hopf bifurcation
(Hopf, E., Abzweigung einer periodischen losung von einer stationaren losung eines differentialsystems, Bed. Veal. Sachs. Akad. Wiss. Leipsig. Math. Natumeiss, 1942, 94: 3-22.)
Stability

Aleksandr Lyapunov

Olga Taussky-Todd and the Inertia Theorem

Stephen Smale
Entropy

Andrey N. Kolmogorov
Kolmogorov Entropy

Vladimir Arnold

Alan Turing on "The Chemical Basis of Morphogenesis"

Return to: Department of Mathematics and Statistics,
University of New Mexico.