Geometrical methods for analyzing the optimal management of tipping point dynamics

Autor:	Florian Wagener
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Dynamic programming Tipping point (physics) Modeling and Simulation Dynamics (mechanics) Hamilton–Jacobi–Bellman equation Applied mathematics Environmental Science (miscellaneous) Optimal management Mathematics
Zdroj:	Natural Resource Modeling. 33(3)
ISSN:	1939-7445 0890-8575
Popis:	Natural resources are not infinitely resilient and should not be modeled as being such. Finitely resilient resources feature tipping points and history dependence. This paper provides a didactical discussion of mathematical methods that are needed to understand the optimal management of such resources: viscosity solutions of Hamilton–Jacobi–Bellman equations, the costate equation and the associated canonical equa- tions, exact root counting, and geometrical methods to analyze the geometry of the invariant manifolds of the canonical equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a19c521775590b5706898a5de49ed2d https://doi.org/10.1111/nrm.12258 Zobrazit plný text záznamu