Brake orbits and heteroclinic connections for first order mean field games

@article{Cesaroni2019BrakeOA,
  title={Brake orbits and heteroclinic connections for first order mean field games},
  author={Annalisa Cesaroni and Marco Cirant},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
We consider first order variational MFG in the whole space, with aggregative interactions and density constraints, such that the stationary states of the game are contained in two isolated compact sets of mass distributions with finite quadratic moments. Under general assumptions on the interaction potential, we provide a method for the construction of periodic in time solutions for the MFG, which oscillate among the two sets of static equilibria. Moreover, as the period increases to infinity… Expand

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