Skiba points and heteroclinic bifurcations, with applications to the shallow lake system

By Florian Wagener. 2003

174 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c7fd9358b690731f81aac5ae3937d5fec3aa4f4b

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In Economics and Econometrics

Citations in the corpus

Using Fast and Slow Processes to Manage Resources with Thresholds (2007, background): “14. Hysteresis occurs in lakes – see Brock and Starrett (2003) or Wagener (2003) – and in many other systems.”
Watch Your Step: Optimal Policy in a Tipping Climate (2014, background): “The nonconvex control literature directly models the possibility of tipping a system into a new type of equilibrium (e.g., Skiba 1978; Brock and Starrett 2003; Mäler, Xepapadeas, and de Zeeuw 2003; Wagener 2003).”
The Economics of Non-Convex Ecosystems: Introduction (2003, background): “Wagener (2003) has shown that the bifurcation curves in the above system are what mathematicians call " heteroclinic bifurcations " .”
The stochastic lake game: A numerical solution (2006, background): “See Wagener (2003) for details on this and other cases in a deterministic, continuous time model of the lake. variance of the shocks, σ”
Modeling Complex Systems (2010, background): “In particular management of ecosystems with non-convex positive feedbacks are examined by Brock and Starret (2003), while a similar problem is studied by Wagener (2003).”
Bifurcations of optimal vector fields in the shallow lake model (2010, methodology): “…pollution level of the lake the social planner steers the lake to the clean equilibrium P ; - the eutrophic steady state is globally optimal; independently of the initial pollution level of the lake the social planner steers the lake to the turbid equilibrium Q; 5For the proof see Wagener (2003).”