Attraction for autonomous mechanical systems with sliding friction (Q2714642)
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scientific article; zbMATH DE number 1607059
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Attraction for autonomous mechanical systems with sliding friction |
scientific article; zbMATH DE number 1607059 |
Statements
20 June 2001
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autonomous mechanical systems
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sliding friction
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attraction
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semi-invariance of limit sets
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holonomic bilateral constraints
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Lyapunov functions
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La Salle invariance principle
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Attraction for autonomous mechanical systems with sliding friction (English)
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The title problem is studied in the presence of potential hyroscopic dissipative forces and ideal holonomic bilateral constraints. The authors establish conditions of semi-invariance of \(\omega\)-limit sets, and conditions for the dichotomy of such systems. The investigation is based on the invariance principle using several Lyapunov functions, combined with La Salle invariance principle applied to autonomous systems with a discontinuous right-hand side.
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