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

8 votes
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Dynamical Systems for undergraduate students

I would recommend reading through Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering by Steven Strogatz. He does a great job of motivating the applications …
Alex R.'s user avatar
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5 votes
2 answers
971 views

Poincaré Recurrence and Dense Sets

This is kind of a spin-off of the question asked here. Take the interval $X:=[0,1]$ with $\mu$ being standard Lebesgue measure. Let $f$ be a measure preserving map $f:[0,1]\rightarrow [0,1]$. The Poin …
Alex R.'s user avatar
  • 4,952