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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model

Journal of Applied Nonlinear Dynamics 10(2) (2021) 211--218 | DOI:10.5890/JAND.2021.06.002

Paulo C.Rech

Departamento de F'{i}sica, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil

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Abstract

In this paper we report on hyperchaos and multistability in a four-dimensional nonlinear dynamical system, namely a financial system modeled by a set of four first order ordinary differential equations, whose dynamical behavior is defined by five control parameters. An arbitrarily chosen cross-section of its five-dimensional parameter-space is used to prove numerically the occurrence of both phenomena, multistability and hyperchaos, in the system. Basins of attraction of periodic and chaotic attractors are presented, as well as some typical phase-space portraits.

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