2017
DOI: 10.1140/epjp/i2017-11673-7
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A variational numerical method based on finite elements for the nonlinear solution characteristics of the periodically forced Chen system

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“…Therefore, we rely on numerical methods for computation of solutions since the HCFS is actually a dynamical system that is described by a set of nonlinear ODEs. However most methods used to solve hyperchaotic systems based on finite difference methods [20,19], finite elements [16], homotopy analysis or perturbation methods (HAM/HPM) together with Adomian decomposition [7], etc. are known to suffer from the curse of dimensionality [1,18] and sometimes not capable of handling stiffness issues [9] that may arise in financial systems.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, we rely on numerical methods for computation of solutions since the HCFS is actually a dynamical system that is described by a set of nonlinear ODEs. However most methods used to solve hyperchaotic systems based on finite difference methods [20,19], finite elements [16], homotopy analysis or perturbation methods (HAM/HPM) together with Adomian decomposition [7], etc. are known to suffer from the curse of dimensionality [1,18] and sometimes not capable of handling stiffness issues [9] that may arise in financial systems.…”
Section: Introductionmentioning
confidence: 99%