Email this article Relative Structural Stability and Instability of Different Degrees in Systems with Dissipation
- Authors: Shamolin M.V.1
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Affiliations:
- Lomonosov Moscow State University, Institute of Mechanics
- Issue: Vol 239, No 3 (2019)
- Pages: 424-435
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242685
- DOI: https://doi.org/10.1007/s10958-019-04314-w
- ID: 242685
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Abstract
We study the relative structural stability (relative roughness) of dynamical systems in some subspace of the space of all dynamical systems; moreover, the space of deformations of (dynamical) systems does not coincide with the space of all admissible deformations. We give some examples of relatively rough systems and relatively nonrough systems of different degree of nonroughness arising in rigid body dynamics and oscillation theory.
About the authors
M. V. Shamolin
Lomonosov Moscow State University, Institute of Mechanics
Author for correspondence.
Email: shamolin@rambler.ru
Russian Federation, 1, Michurinskii pr., Moscow, 119192
