On the global dynamics of a finance model

Jaume Llibre; Clàudia Valls

doi:https://doi.org/10.1016/j.chaos.2017.10.026

On the global dynamics of a finance model

Jaume Llibre, Clàudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

© 2017 Elsevier Ltd Recently several works have studied the following model of finance x˙=z+(y−a)x,y˙=1−by−x2,z˙=−x−cz,where a, b and c are positive real parameters. We study the global dynamics of this polynomial differential system, and in particular for a one–dimensional parametric subfamily we show that there is an equilibrium point which is a global attractor.

Original language	English
Pages (from-to)	1-4
Journal	Chaos, Solitons and Fractals
Volume	106
DOIs	https://doi.org/10.1016/j.chaos.2017.10.026
Publication status	Published - 1 Jan 2018

Keywords

Darboux invariant
Finance model
Global dynamics
Poincaré compactification

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https://doi.org/10.1016/j.chaos.2017.10.026

https://ddd.uab.cat/record/182540

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abstract = "{\textcopyright} 2017 Elsevier Ltd Recently several works have studied the following model of finance x˙=z+(y−a)x,y˙=1−by−x2,z˙=−x−cz,where a, b and c are positive real parameters. We study the global dynamics of this polynomial differential system, and in particular for a one–dimensional parametric subfamily we show that there is an equilibrium point which is a global attractor.",

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AB - © 2017 Elsevier Ltd Recently several works have studied the following model of finance x˙=z+(y−a)x,y˙=1−by−x2,z˙=−x−cz,where a, b and c are positive real parameters. We study the global dynamics of this polynomial differential system, and in particular for a one–dimensional parametric subfamily we show that there is an equilibrium point which is a global attractor.

KW - Darboux invariant

KW - Finance model

KW - Global dynamics

KW - Poincaré compactification

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DO - https://doi.org/10.1016/j.chaos.2017.10.026

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VL - 106

SP - 1

EP - 4

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

ER -

On the global dynamics of a finance model

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Keywords

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