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arXiv · 1112.4687

Towards a renormalization theory for quasi-periodically forced one dimensional maps III. Numerical Support

Pau Rabassa·Angel Jorba·Joan Carles Tatjer
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Abstract

In a previous work by the authors the one dimensional (doubling) renormalization operator was extended to the case of quasi-periodically forced one dimensional maps. The theory was used to explain different self-similarity and universality observed numerically in the parameter space of the Forced Logistic Maps. The extension proposed was not complete in the sense that we assumed a total of four conjectures to be true. In this paper we present numerical support for these conjectures. We also discuss the applicability of this theory to the Forced Logistic Map.

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Pau Rabassa, Angel Jorba, Joan Carles Tatjer. 2011-12-20. Towards a renormalization theory for quasi-periodically forced one dimensional maps III. Numerical Support. https://arxiv.org/abs/1112.4687

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