Evaluation of nonlinear resonances in 4D symplectic mappings

DOI10.1016/S0378-4754(97)00124-9zbMath1017.70506OpenAlexW2058001861WikidataQ127499018 ScholiaQ127499018MaRDI QIDQ1404733

M. Gemmi, Massimo Giovannozzi, Ezio Todesco

Publication date: 21 August 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(97)00124-9

zbMATH Keywords

Nonlinear dynamicsNormal formsResonances

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Uses Software

• NERO
• ARES

Cites Work

• Theory of the alternating-gradient synchrotron
• The measure of chaos by the numerical analysis of the fundamental frequencies. Applications to the standard mapping
• Frequency analysis for multi-dimensional systems. Global dynamics and diffusion
• A program to compute Birkhoff normal forms of symplectic maps in \(\mathbb{R}^ 4\)
• Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems
• NERO: A code for the nonlinear evaluation of resonances in one-turn mappings
• Resonant normal forms, interpolating Hamiltonians and stability analysis of area preserving maps

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