Journal of Applied Nonlinear Dynamics
Hyperchaos and Multistability in a FourDimensional Financial Mathematical Model
Journal of Applied Nonlinear Dynamics 10(2) (2021) 211218  DOI:10.5890/JAND.2021.06.002
Paulo C.Rech
Departamento de F'{i}sica, Universidade do Estado de Santa Catarina, 89219710 Joinville, Brazil
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Abstract
In this paper we report on hyperchaos and multistability in a fourdimensional
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 crosssection of its fivedimensional
parameterspace 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
phasespace portraits.
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