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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.

3 votes
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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 …
Guy Katriel's user avatar
6 votes
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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 …