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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
6
votes
2
answers
2k
views
Global stability for dynamical systems in $R^n$
Suppose we have a smooth dynamical system on $R^n$ (defined by a system of ODEs).
Assume that:
(1) The system has an absorbing ball, that is every trajectory eventually enters this ball
and stays in …
3
votes
Accepted
Analytic ODE with complex time
You'll find relevant information in the book
Ordinary differential equations in the complex domain
By Einar Hille
http://books.google.com/books?id=I1OR4t8UZCgC&printsec=frontcover&dq=Ordinary+Differe …