MathDBRobust chaos conjecture for high-dimensional bounded nonlinear systems
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.
Sources & referencesView supporting material
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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