TY - JOUR
T1 - Invariant algebraic surfaces and hopf bifurcation of a finance model
AU - Cândido, Murilo R.
AU - Llibre, Jaume
AU - Valls, Claudia
PY - 2018/11/1
Y1 - 2018/11/1
N2 - © 2018 World Scientific Publishing Company. Recently there are several works studying the finance model (equation presented), 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.
AB - © 2018 World Scientific Publishing Company. Recently there are several works studying the finance model (equation presented), 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.
KW - Darboux integrability
KW - Hopf bifurcation
KW - Lyapunov constant
KW - averaging theory
KW - invariant algebraic surface
UR - https://www.scopus.com/pages/publications/85057119241
U2 - 10.1142/S021812741850150X
DO - 10.1142/S021812741850150X
M3 - Article
SN - 0218-1274
VL - 28
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
M1 - 1850150
ER -