A fast algorithm for multivariate Hermite interpolation

Bursting oscillations as well as the bifurcation mechanism in a non-smooth chaotic geomagnetic field model

“…The theory of dynamical systems is an important tool for studying inherent mechanisms of various natural and human phenomena, especially when dealing with systems which contain complex nonlinear characters, [1] such as economic models, [2,3] nonlinear oscillator circuit models, [4,5] ecological models, [6] medical models, [7] and game theory. [8] Recently, Gissinger proposed a model [9] which was used to study periodic or chaotic changes of sign of the amplitudes in dynamical systems, in addition to studying some specific situations of generator and hydrodynamic problems.…”

“…[8] Recently, Gissinger proposed a model [9] which was used to study periodic or chaotic changes of sign of the amplitudes in dynamical systems, in addition to studying some specific situations of generator and hydrodynamic problems. [1] In the paper, he discussed the physical interpretation of this model and obtained several different dynamic regimes by choosing different values for the free parameters. Because the model offers a simple modelization of experimental and natural objects exhibiting complex dynamics, many researchers gave it further attention.…”