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| Content Provider | Springer Nature Link |
|---|---|
| Author | Goudon, Thierry Lafitte, Pauline |
| Copyright Year | 2014 |
| Abstract | The lovebirds problem consists in finding the compromise between well-being and efforts that are necessary to sustain a sentimental relationship. According to a modeling introduced by J.-M. Rey, the problem can be described as finding the initial data for a certain dynamical system, guaranteeing that the associated trajectory belongs to the stable manifold. We further discuss this interpretation by means of the Dynamical Programming Principle and the Hamilton-Jacobi-Bellman framework. It allows us to propose an algorithm that determines numerically the solution of the lovebirds problem. |
| Ending Page | 165 |
| Page Count | 19 |
| Starting Page | 147 |
| File Format | |
| ISSN | 01678019 |
| e-ISSN | 15729036 |
| Journal | Acta Applicandae Mathematica |
| Issue Number | 1 |
| Volume Number | 136 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2014-05-27 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Computation of stable and unstable manifolds Theoretical, Mathematical and Computational Physics Computer Science Mechanics Hamilton-Jacobi-Bellman equations Mathematics Statistical Physics, Dynamical Systems and Complexity Dynamical systems Invariant manifold theory Dynamical programming principle |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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