Periodic solutions of approximated normal forms and simplification of normal transform by using Gröbner basis

DOI10.1016/j.apm.2022.05.022zbMath1505.34059OpenAlexW4280528493MaRDI QIDQ2109753

Yanyan Li

Publication date: 21 December 2022

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2022.05.022

zbMATH Keywords

Gröbner basisspectrumnormal formnonlinear

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (1)

Different dynamics of a periodic mass-in-mass nonlinear chain during a single mode excitation

Cites Work

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• Nonlinear dynamics and turbulence
• Amplitude Equations for Systems with Competing Instabilities
• A new algorithm for Birkhoff normalization of Hamiltonian systems
• Normal Forms and Unfoldings for Local Dynamical Systems

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