Article ; Online: Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology.
2023 Volume 33, Issue 12
Abstract: This paper investigates biological models that represent the transition equation from a system in the past to a system in the future. It is shown that finite-time Lyapunov exponents calculated along a locally pullback attractive solution are efficient ... ...
Abstract | This paper investigates biological models that represent the transition equation from a system in the past to a system in the future. It is shown that finite-time Lyapunov exponents calculated along a locally pullback attractive solution are efficient indicators (early-warning signals) of the presence of a tipping point. Precise time-dependent transitions with concave or d-concave variation in the state variable giving rise to scenarios of rate-induced tracking are shown. They are classified depending on the internal dynamics of the set of bounded solutions. Based on this classification, some representative features of these models are investigated by means of a careful numerical analysis. |
---|---|
Language | English |
Publishing date | 2023-12-12 |
Publishing country | United States |
Document type | Journal Article |
ZDB-ID | 1472677-4 |
ISSN | 1089-7682 ; 1054-1500 |
ISSN (online) | 1089-7682 |
ISSN | 1054-1500 |
DOI | 10.1063/5.0159237 |
Database | MEDical Literature Analysis and Retrieval System OnLINE |
More links
Kategorien
Order via subito
This service is chargeable due to the Delivery terms set by subito. Orders including an article and supplementary material will be classified as separate orders. In these cases, fees will be demanded for each order.