Notice
This item was automatically migrated from a legacy system. It's data has not been checked and might not meet the quality criteria of the present system.
Grass, D., & Uecker, H. (2017). Optimal management and spatial patterns in a distributed shallow lake model (No. 01). http://hdl.handle.net/20.500.12708/146870
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
-
Report No.:
01
-
Date (published):
2017
-
Number of Pages:
20
-
Abstract:
We present a numerical framework to treat infinite time horizon spatially distributed optimal control problems via the associated canonical system derived by Pontryagin's Maximum Principle.
The basic idea is to consider the canonical system in two steps. First we perform a bifurcation analysis of canonical steady states using the continuation and bifurcation package pde2path, yield-
ing a number...
We present a numerical framework to treat infinite time horizon spatially distributed optimal control problems via the associated canonical system derived by Pontryagin's Maximum Principle.
The basic idea is to consider the canonical system in two steps. First we perform a bifurcation analysis of canonical steady states using the continuation and bifurcation package pde2path, yield-
ing a number of so called flat and patterne canonical steady states. In a second step we link pde2path to the two point boundary value problem solver TOM to study time dependent canonical paths to steady states having the so called saddle point property. As an example we consider a shallow lake model with diffusion.
