Self-rotation number using the turning angle

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Self-Rotation Number using the Turning Angle

The self-rotation number, as defined by Peckham, is the rotation rate of the image of a point about itself. Here we use the notion of “turning angle” to give a simplified algorithm to compute the selfrotation number for maps that “avoid an angle.” We show that the orientation preserving Hénon map does avoid an angle. Moreover, the self-rotation number for orbits of the Hénon map can be computed...

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ژورنال

عنوان ژورنال: Physica D: Nonlinear Phenomena

سال: 2000

ISSN: 0167-2789

DOI: 10.1016/s0167-2789(00)00093-2