Homotopy analysis of explicit series solutions in a modified nose-hoover oscillator

• Autorzy: Deng Bo , Duarte Jorge , Januario Cristina , Martins Nuno

Identyfikatory

DOI

10.17512/jamcm.2024.2.02

• Języki publikacji: EN

Abstrakty

EN

In light of recent advancements in the literature concerning the Homotopy Analysis Method (HAM), this paper introduces a stepwise homotopy analysis methodology. This approach is employed to derive explicit series solutions for a generalized Nos´e-Hoover oscillator. Using an optimized homotopy analysis strategy, the computational efficiency of HAM is enhanced through small step intervals, significantly expediting the convergence of series solutions over an extended duration. Comparative analyses between analytical and numerical results are illustrated. The fluctuation in amplitude of the approximate analytical solutions, with respect to the control parameters of the system, is used to generate density plots. These plots serve to highlight additional dynamic features of the oscillator.

Słowa kluczowe

EN

modified Nos’e-Hoover oscillator; nonlinear differential equations; explicit series solutions; optimal homotopy analysis procedures

PL

zmodyfikowany oscylator Nos’e-Hoovera; nieliniowe równania różniczkowe; jawne rozwiązania szeregowe; procedury analizy optymalnej homotopii

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 2
• Strony: 19--30
• Opis fizyczny: Bibliogr. 15 poz., rys., tab.

Twórcy

autor

Deng Bo

• Department of Mathematics, University of Nebraska-Lincoln Lincoln, USA

autor

Duarte Jorge

• Department of Mathematics, Engineering Superior Institute of Lisbon Lisbon, Portugal and Center for Mathematical Analysis, Geometry and Dynamical Systems, Department of Mathematics, Instituto Superior Tecnico, Universidade de Lisboa Lisbon, Portugal

autor

Januario Cristina

• Department of Mathematics, Engineering Superior Institute of Lisbon Lisbon, Portugal and Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro Aveiro, Portugal

autor

Martins Nuno

• Center for Mathematical Analysis, Geometry and Dynamical Systems, Department of Mathematics, Instituto Superior Tecnico, Universidade de Lisboa, Lisbon, Portugal and Department of Mathematics, Instituto Superior Tecnico, Universidade de Lisboa Lisbon, Portugal
• [e-mail]

Bibliografia

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