Discrete dynamical systems: Generalized Liapunov functions (Q2765965)
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scientific article; zbMATH DE number 1695238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete dynamical systems: Generalized Liapunov functions |
scientific article; zbMATH DE number 1695238 |
Statements
9 July 2002
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discrete dynamical systems
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generalized Lyapunov functions
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limit sets
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attractor sets
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linear selfadjoint operator
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Discrete dynamical systems: Generalized Liapunov functions (English)
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A definition of generalized Lyapunov function of a discrete dynamical system is given. The invariance principle is proved to be valid for the generalized Lyapunov function. The class of generalized Lyapunov functions is shown to be wider than the class of Lyapunov functions.
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