A Conley-type Lyapunov function for the strong chain recurrent set
Overview & Synopsis
Let φ : X × R → X be a continuous flow on a compact metric space (X, d). In this article we constructively prove the existence of a continuous Lyapunov function for φ which is strictly decreasing outside SCR d (φ). Such a result generalizes Conley's Fundamental Theorem of Dynamical Systems for the strong chain recurrent set.
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hal.science)
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Document Information
| Document Title | A Conley-type Lyapunov function for the strong chain recurrent set |
|---|---|
| Author / Organization | Olga Bernardi, Anna Florio, Jim Wiseman |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2022 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-88674 |
| Original Source Link | Visit Source Page on hal.science » |