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Compound windows of the Hénon-map. (English) Zbl 1155.37030

For the standard 2-parameter 2nd order Henon map shapes and locations of periodic windows in the bifurcation diagram are studied numerically by means of a random searching procedure. To study the stability of solutions the author introduces a functional whose values smaller than one on modulus indicate the stability of the portion of a window where a fundamental period prevails.

MSC:

37E99 Low-dimensional dynamical systems
37C99 Smooth dynamical systems: general theory
37G99 Local and nonlocal bifurcation theory for dynamical systems
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