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This volume contains the lecture notes written by the four
principal speakers at the C.I.M.E. session on Dynamical Systems
held at Montecatini, Italy in June 1994. The goal of the session
was to illustrate how methods of dynamical systems can be applied
to the study of ordinary and partial differential equations. Topics
in random differential equations, singular perturbations, the
Conley index theory, and non-linear PDEs were discussed. Readers
interested in asymptotic behavior of solutions of ODEs and PDEs and
familiar with basic notions of dynamical systems will wish to
consult this text.
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