About Universal basins of attraction in High-Dimensional Systems

Abstract

In this letter, we will show the existence of invariant sets called universal basins of attraction for typical nonlinear high-dimensional dynamical systems such as randomly sampled high-dimensional vector fields (ODEs) or maps. The method of analysis is based on the definition of an equivalence class between systems with the same number of neurons, the same… (More)
DOI: 10.1142/S0218127413501976

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Cite this paper

@article{Elhadj2013AboutUB, title={About Universal basins of attraction in High-Dimensional Systems}, author={Zeraoulia Elhadj and Julien Clinton Sprott}, journal={I. J. Bifurcation and Chaos}, year={2013}, volume={23} }