© 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.
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|Publication status||Published - 1 Nov 2018|
- Darboux integrability
- Hopf bifurcation
- Lyapunov constant
- averaging theory
- invariant algebraic surface