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arXiv · 2310.03437

Attractors of Linear Maps with Bounded Noise

Jeroen S. W. Lamb·Martin Rasmussen·Wei Hao Tey
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Abstract

We consider invertible linear maps with additive spherical bounded noise. We show that minimal attractors of such random dynamical systems are unique, strictly convex and have a continuously differentiable boundary. Moreover, we present an auxiliary finite-dimensional deterministic boundary map for which the unit normal bundle of this boundary is globally attracting.

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Jeroen S. W. Lamb, Martin Rasmussen, Wei Hao Tey. 2023-10-05. Attractors of Linear Maps with Bounded Noise. https://arxiv.org/abs/2310.03437

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