visitant ::
identificació
|
|||||||||||||||
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español |
Pàgina inicial > Articles > Articles publicats > Invariant algebraic surfaces and hopf bifurcation of a finance model |
Data: | 2018 |
Resum: | Recently there are several works studying the finance model ẋ=z+x(y−a),ẏ=1−by−x2,ż=−x−cz, where a,b and c are positive parameters. The first objective of this paper is to show that this model exhibits one small-amplitude periodic solution emerging from a Hopf bifurcation at the equilibrium point (0, 1/b, 0) and in the second one we show that this system does not have invariant algebraic surfaces for any value of the parameters. |
Ajuts: | Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Darboux integrability ; Hopf bifurcation ; Averaging theory ; Invariant algebraic surface ; Lyapunov constant |
Publicat a: | International journal of bifurcation and chaos in applied sciences and engineering, Vol. 28, Issue 12 (November 2018) , art. 1850150, ISSN 1793-6551 |
Postprint 15 p, 386.3 KB |