Nonlinear Phenomena in Complex Systems, 2000, Vol.3, No.2, pp.117--121

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2000, Volume 3, Number 2, pp.117--121

Non-Hyperbolic Dynamics: a Family of Special Functions.
M. Morandi Cecchi, L. Salasnich

We study the iterative dynamics of a family of special functions from R² into R² with a non-hyperbolic fixed point in the origin. The characterization by the eigenvalues is analyzed and discussed.
Key words: iterative dynamics, discrete dynamics, basin of attraction, non-hyperbolic fixed point.

Full text: Acrobat PDF (291KB) PostScript (1873KB) PostScript.gz (304KB)