engleski

Fractal Analysis of Some Bifurcations of Discrete Dynamical Systems in Higher Dimensions

We study the box dimension as fractal property of bifurcations of discrete dynamical systems in higher dimensions. We apply the box dimension results near hyperbolic and nonhyperbolic fixed points to the fold-flip bifurcation. In the analysis of bifurcation diagram, we also use the characteristic and projective box dimensions.

box dimension, fixed point, non-hyperbolicity, center manifold, unit-time map

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