Browsing MATH Theses and Dissertations by Author "Wiggins, Shawn"

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The existence of Morse-Smale diffeomorphisms in the family of Hénon maps

Wiggins, Shawn (Wichita State University, 2009-05)

We consider Hénon maps on ℝ² of the form fa,c(x,y)=(y,y2+c+ax) with real parameters (a, c). Due to the work of S. Hayes and C. Wolf [8], we provide a detailed investigation of the parameters 0 < a < 1 and c = 0. For each ...