Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7155413 | Communications in Nonlinear Science and Numerical Simulation | 2015 | 10 Pages |
Abstract
In this note, we consider sliding motion on the intersection Σ of two smooth manifolds in the case when the dynamics near the manifold Σ is spiral-like, and Σ is spirally attractive. We clarify the meaning of spiral-like dynamics around Σ, characterize what we mean by spiral attractivity of Σ, and finally discuss what to expect when Σ ceases to be attractive, with nearby orbits getting farther away from Σ through spiraling motion. Our characterization of spiral-attractivity of Σ is given by a single number, which plays a role similar to that of a Floquet multiplier for a smooth planar system.
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Authors
L. Dieci,