Robust chaos conjecture for high-dimensional bounded nonlinear systems
A robust chaos conjecture asserts that chaos is a robust, high-probability behavior for high-dimensional, bounded, nonlinear dynamical systems. The paper reports near-unity experimental probabilities for chaos in sufficiently nonlinear high-dimensional neural networks and describes the claim as imprecise and requiring further study, so it remains open in the supplied text.
References
Primary source
D. J. Albers and J. C. Sprott, “Structural Stability and Hyperbolicity Violation in High-Dimensional Dynamical Systems”, arXiv:nlin/0408011 (2004).
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