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Article Contents

# Finding invariant tori with Poincare's map

• We consider the existence problem of invariant tori for quasi-periodic equation. We regard quasi-periodic functions with $n$ frequencies as periodic functions of functions with $n-1$ frequencies, which constitute a function space. Then we define Poincare's return map of a given semiflow on the space whose fixed point corresponds to an invariant torus of the semiflow.
Mathematics Subject Classification: Primary: 37B55; Secondary: 34C27.

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