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Instability and bifurcation in a trend depending price formation model

Autor
Gonzalez, M.; Gualdani, M.; Sola-morales, J.
Tipus d'activitat
Article en revista
Revista
Acta applicandae mathematicae
Data de publicació
2016-08
Volum
144
Número
1
Pàgina inicial
121
Pàgina final
136
DOI
https://doi.org/10.1007/s10440-016-0043-8 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/114338 Obrir en finestra nova
URL
http://link.springer.com/article/10.1007%2Fs10440-016-0043-8 Obrir en finestra nova
Resum
A well-known model due to J.-M. Lasry and P.L. Lions that presents the evolution of prices in a market as the evolution of a free boundary in a diffusion equation is modified in order to show instabilities for some values of the parameters. This loss of stability is associated to the appearance of new types of solutions, namely periodic solutions, due to a Hopf bifurcation and representing price oscillations; and traveling waves, that represent either inflationary or deflationary behavior.
Citació
Gonzalez, M., Gualdani, M., Sola-morales, J. Instability and bifurcation in a trend depending price formation model. "Acta applicandae mathematicae", Agost 2016, vol. 144, núm. 1, p. 121-136.
Paraules clau
Bifurcation, Free boundary, Mathematical modeling, Price formation, Reaction-diffusion, Stability, Traveling waves
Grup de recerca
EDP - Equacions en Derivades Parcials i Aplicacions

Participants

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