Hsuan-Wen Su - Department of Mathematics, National Changhua University of Education, 1, Jin-De Rd, Changhua, 50007, Taiwan (email)
Abstract: 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.
Keywords: semiflow, Poincare's map, weak quasi-periodic family of solutions,
Besicovitch almost periodic solutions.
Received: October 2006; Revised: February 2007; Published: December 2007.
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