Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System

Huang, Bo; Wei, Ning; Xie, Shaofen

doi:10.3390/sym14051036

Cited by 1 publication

(2 citation statements)

References 31 publications

(50 reference statements)

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“…This allows flexibly control of the accuracy of computations and identification of zero coefficients even with numerical integration. CAS are intensively used in research in various fields of mathematics [32][33][34][35][36][37], physics [31,[38][39][40][41][42], engineering [43], education [44], and other areas.…”

Section: Introductionmentioning

confidence: 99%

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Computational Technology for the Basis and Coefficients of Geodynamo Spectral Models in the Maple System

Vodinchar

Feshchenko

2023

Mathematics

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Spectral models are often used in the study of geodynamo problems. Physical fields in these models are presented as stationary basic modes combinations with time-dependent amplitudes. To construct a model it is necessary to calculate the modes parameters, and to calculate the model coefficients (the Galerkin coefficients). These coefficients are integrals of complex multiplicative combinations of modes and differential operators. The paper proposes computing technology for the calculation of parameters, the derivation of integrands and the calculation of the integrals themselves. The technology is based on computer algebra methods. The main elements for implementation of technology in the Maple system are described. The proposed computational technology makes it possible to quickly and accurately construct fairly wide classes of new geodynamo spectral models.

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