Box dimension of spiral trajectories of some vector fields in \(\mathbb R^3\) (Q2468835)
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| Language | Label | Description | Also known as |
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| English | Box dimension of spiral trajectories of some vector fields in \(\mathbb R^3\) |
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Box dimension of spiral trajectories of some vector fields in \(\mathbb R^3\) (English)
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11 February 2008
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The authors are interested in finding the box dimension of spiral trajectories appearing as solutions of some dynamical systems. A basic tool in the study of spirals in the space is provided by a general result concerning behaviour of Minkowski contents of a bounded set under bi-Lipschitz mappings. Applications include Minkowski contents and box dimensions of spirals in \(\mathbb{R}^3\), dynamical systems, and singular integrals.
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bi-Lipschitz mapping
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Minkowski content
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box dimension
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spiral
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